HMMT 2002 A3

Real numbers $a, b, c$ satisfy the equations $a+b+c=26,1 / a+1 / b+1 / c=28$. Find the value of

$$\frac{a}{b}+\frac{b}{c}+\frac{c}{a}+\frac{a}{c}+\frac{c}{b}+\frac{b}{a} .$$