Side Intercept

Geometry Level 4

In the triangle \(ABC\), point \(D\) is the midpoint of \(AB\). Point \(E\) is on side \(AC\), such that \(BE \) intersects \(CD\) at point \(F\), with \( | DF | = 2 | FC| \). What is the ratio \( \dfrac{|CE|}{|AC|} \) ?

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