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The couple, who went public with their relationship in April 2012 and have 11-month-old daughter North, exchanged vows in front of approximately 200 guests during an outdoor sunset ceremony at the Forte di Belvedere in Florence, Italy today.
A source said Rich Wilkerson Jr., a pastor from North Miami, performed the ceremony, which was organised by long-time Kardashian family friend and celebrity event planner Sharon Sacks, who also planned Kim's second wedding to Kris Humphries in 2011.
Bruce Jenner walked Kim down the aisle, after which wedding guests enjoyed a special performance by Andrea Bocelli, who sang several songs, including "Con the Partiro."
Kanye appeared to be very nervous beforehand, swigging obsessively from a bottle of water.
"It was funny how nervous he was. He clearly knew the gravity of what he was about to do," an eyewitness told People Magazine. "This morning he was all smiles, but as it got closer, you could see that the nerves were kicking in. It's common for most grooms. I've seen it all before."
Another source said Kim arrived at their wedding venue with her grandmother, Mary Jo Shannon, shortly after catching a private jet with her bridal party, including sisters, Kourtney and Khloé Kardashian, and mother, Kris Jenner, from Paris, where the couple enjoyed a pre-wedding celebration at the Palace of Versailles on Friday night.
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"A convoy of cars arrived at around 3 p.m. local time. Kim was in the first car, which was a Mercedes-Benz. They drove the car right up and her assistant opened the door and Kim dashed in. She looked to be wearing white," the eyewitness told E! News
"Kourtney was carrying her daughter Penelope and her son Mason--in a red-striped outfit--followed behind."
"Kris Jenner, who told E! News that she is "beyond bursting with happiness for Kim, Kanye and baby North" got out of the second car wearing a black suit. She had a large professional camera on a strap on her shoulders. She had obviously been taking professional pictures to remember the occasion.
"Such a magical, romantic wedding!" she added. "I feel blessed to have my new son and his family as part of ours."
The 'New Slaves' hitmaker surprised the Keeping Up with the Kardashians star by proposing to her on her 33rd birthday on October 21 at AT&T Park in San Francisco.
The couple started dating just months after the reality TV star split from ex-husband Kris in October 2011 after 72 days of marriage.