Three parallel lines AB, CD, and EF are intersected by two transversals. If AC = 14 cm, BD = 16 cm, and DF = 40 cm, find the length of CE.

To solve this problem, we will assume the visual representation of parallel lines in the diagram is correct, which shows $AB \parallel CD \parallel EF$. The text states "$AB \parallel CD$ and $CB \parallel ED$". If we follow the text strictly, the previous attempt led to a negative length, which is impossible. The diagram clearly indicates three parallel lines $AB$, $CD$, and $EF$. This is a common setup for the Intercept Theorem (also known as Thales's Theorem or Basic Proportionality Theorem).

Given:
$AB \parallel CD \parallel EF$
$AC = 14$ cm
$BD = 16$ cm
$DF = 40$ cm

From the Intercept Theorem, if three parallel lines