ANALYZING RELATIONSHIPS The length of $\overline{XY}$XY​ is 24$24$24​ centimeters. The midpoint of line segment cap x cap y$\overline{XY}$XY​ is cap m$M$M​ , and cap c$C$C​ is on line segment cap x cap m$\overline{XM}$XM​ so that cap x cap c$XC$XC​ is 2 thirds$\frac{2}{3}$23​​ of cap x cap m$XM$XM​ . Point cap d$D$D​ is on line segment cap m cap y$\overline{MY}$MY​ so that cap m cap d$MD$MD​ is 3 fourths$\frac{3}{4}$34​​ of cap m cap y$MY$MY​ . What is the length of line segment cap c cap d$\overline{CD}$CD​ ?The length of $\overline{CD}$CD​ is centimeters.