If \( B C: C D=2: 3, A E: E C=3: 4 \) and \( B C: A E \) \( =2: 3 \), then find the ratio of the...

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If \( B C: C D=2: 3, A E: E C=3: 4 \) and \( B C: A E \) \( =2: 3 \), then find the ratio of the area of \( \triangle E C D \) to the area of \( \triangle A E B \).
(a) \( 2: 1 \)
(b) \( 2: 3 \)
(c) \( 3: 5 \)
(d) \( 4: 3 \)
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