Didier Drogba missed a first-half penalty but bounced back to score twice before Yaya Toure added a late free-kick.
The Elephants dominated the opening encounters, with former Leeds striker Max Gradel fizzing a shot just past the post before the same player wasted another decent opportunity.
Ivory Coast kept plugging away and were awarded a penalty when former Tottenham midfielder Didier Zokora was fouled in the area.
But Chelsea striker Drogba saw his spot-kick superbly saved by Equatorial Guinea goalkeeper Emanuel-Danilo Clementino as he dived to his right.
Drogba soon had the chance to make amends though, as he cut inside onto his right foot in the box and slotted home after a crucial mistake by Rui (36).
The second half was a largely lacklustre affair but Drogba showed his class when he powerfully headed home a free-kick from Yaya Toure (69).
Toure then wrapped up the win on 81 with a stunning 30-yard free-kick that curled in off the post to leave the keeper with no chance.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
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Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!