Kanye & Kim K. Yeezus! Engaged with a 15 Carat Rock

10/22/2013 11:45 AM PDT BY TMZ STAFF
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The engagement comes 4 months after Kim and Kanye's daughter North was born -- and 18 months after they went public as a couple.

Monday was Kim's 33rd birthday. This will be her third shot at "til death do us part," and Kanye's first.

BTW -- In case you're interested, it costs $35k to rent out the field.  We're guessing he can afford it.