Two events A,BA, BA,B satisfy P(A∪B)=0.7P(A \cup B) = 0.7P(A∪B)=0.7 and P(A∩B)=0.1P(A \cap B) = 0.1P(A∩B)=0.1. If P(A)=2P(B)P(A) = 2P(B)P(A)=2P(B), find P(A)P(A)P(A).
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