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Kyllian Mbappe's double, either side of a Raphinha strike for the hosts at Camp Nou, brought third-place Real Madrid within three points of the La Liga leaders and reigning Spanish champions.
Mbappe reaching a milestone 100 goals for Real Madrid during the 2-1 Clasico win over Barcelona in La Liga on Sunday was "just a detail" compared to the team's victory
Jose Mourinho's Madrid have now won five matches in a row and seem to be coming into strong form.
"I'm very happy, I think everyone knows I like to score goals, I like to help the team with that, but I think today it's just a detail, because... the most important thing is the team's win," Mbappe told Real Madrid TV.
"Honestly, the real star of the game today is the team, the group, because we knew we had to play a big game, a team game...We know that in the end it was a great game, but it still only counts as three points, and we need to pick up a lot of points to win La Liga."
Visiting manager Jose Mourinho celebrated with a small knee slide by the dugout and a fist pump.
League leaders Barcelona have a two-point lead over second-placed Atletico Madrid after 10 matches, with Real one point further back in third spot.
The French forward hit a brace to bring up his century for Los Blancos across all competitions since joining in 2024.
Barcelona were aiming to set an outright record for the most consecutive victories at the start of a Spanish top-flight season.
However, Hansi Flick's side were unable to surpass the mark of nine straight wins set by the Real Madrid team of 1968-69.
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