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In triangle ABC ,if (r(1))/(6)=(r(2))/(3...

In `triangle ABC` ,if `(r_(1))/(6)=(r_(2))/(3)=(r_(3))/(2)` ,where,`r_(1),r_(2)` and `r_(3)` are ex-radii, then find the value of `(a)/(b)+(b)/(c)+(c)/(a)`?

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