Finding the Third Proportional to 34,535,755,331,352 and 76,793,212,631,643
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Solution
The third proportional to 34,535,755,331,352 and 76,793,212,631,643 is: 170,756,291,550,837.53
Step by Step Solution
- Step 1: Write the proportion equation
34,535,755,331,352 : 76,793,212,631,643 = 76,793,212,631,643 : x - Step 2: Convert to fraction form
34,535,755,331,352/76,793,212,631,643 = 76,793,212,631,643/x - Step 3: Cross multiply
34,535,755,331,352x = 76,793,212,631,643 × 76,793,212,631,643 - Step 4: Simplify right side
34,535,755,331,352x = 5,897,197,506,288,733,751,322,083,328 - Step 5: Solve for x
x = 5,897,197,506,288,733,751,322,083,328/34,535,755,331,352 - Step 6: Final answer
x = 170,756,291,550,837.53
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.