Finding the Third Proportional to 64,017,309,591,100 and 86,374,381,553,150
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Solution
The third proportional to 64,017,309,591,100 and 86,374,381,553,150 is: 116,539,320,948,382.05
Step by Step Solution
- Step 1: Write the proportion equation
64,017,309,591,100 : 86,374,381,553,150 = 86,374,381,553,150 : x - Step 2: Convert to fraction form
64,017,309,591,100/86,374,381,553,150 = 86,374,381,553,150/x - Step 3: Cross multiply
64,017,309,591,100x = 86,374,381,553,150 × 86,374,381,553,150 - Step 4: Simplify right side
64,017,309,591,100x = 7,460,533,788,689,139,118,802,731,008 - Step 5: Solve for x
x = 7,460,533,788,689,139,118,802,731,008/64,017,309,591,100 - Step 6: Final answer
x = 116,539,320,948,382.05
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.