Marinada '24

[lang=hr] Neka je $ABCD$ paralelogram. Neka su $M$ i $N$ polovišta stranica $AB$ i $CD$, te neka je $P$ sjecište pravaca $BN$ i $CM$. Nadalje, neka je $T$ sjecište pravaca $AP$ i $BC$. Koliki je omjer $|CT|:|BT|$? Napišite ga u obliku $x_1:x_2$, bez razmaka! [/lang] [lang=en] Let $ABCD$ be a parallelogram. Let $M$ and $N$ be the midpoints of sides $AB$ and $CD$, respectively, and let $P$ be the intersection of lines $BN$ and $CM$. Furthermore, let $T$ be the intersection of lines $AP$ and $BC$. What is the ratio $|CT|:|BT|$? Write your answer in the form $x_1:x_2$ without spaces! [/lang]