Finding the Third Proportional to 12,502,416,362,834 and 27,081,865,711,732
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Solution
The third proportional to 12,502,416,362,834 and 27,081,865,711,732 is: 58,662,855,974,669.75
Step by Step Solution
- Step 1: Write the proportion equation
12,502,416,362,834 : 27,081,865,711,732 = 27,081,865,711,732 : x - Step 2: Convert to fraction form
12,502,416,362,834/27,081,865,711,732 = 27,081,865,711,732/x - Step 3: Cross multiply
12,502,416,362,834x = 27,081,865,711,732 × 27,081,865,711,732 - Step 4: Simplify right side
12,502,416,362,834x = 733,427,450,428,285,357,433,815,040 - Step 5: Solve for x
x = 733,427,450,428,285,357,433,815,040/12,502,416,362,834 - Step 6: Final answer
x = 58,662,855,974,669.75
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.