Ononot — In a triangle ABC, the cevians AD, BE, CF are concurrent at

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Euclidean 2Dhard

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In a triangle $ABC$ , the cevians $AD, BE, CF$ are concurrent at $P$ . Given that the ratios of segment lengths on the sides are $\frac{AF}{FB} = 2$ and $\frac{BD}{DC} = 3$ , find the ratio $\frac{CE}{EA}$ using Ceva's Theorem.