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Finding the Third Proportional to 392,272,999,376 and 560,951,057,136

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Solution

The third proportional to 392,272,999,376 and 560,951,057,136 is: 802,160,966,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,272,999,376 : 560,951,057,136 = 560,951,057,136 : x
  2. Step 2: Convert to fraction form
    392,272,999,376/560,951,057,136 = 560,951,057,136/x
  3. Step 3: Cross multiply
    392,272,999,376x = 560,951,057,136 × 560,951,057,136
  4. Step 4: Simplify right side
    392,272,999,376x = 314,666,088,501,995,934,580,736
  5. Step 5: Solve for x
    x = 314,666,088,501,995,934,580,736/392,272,999,376
  6. Step 6: Final answer
    x = 802,160,966,986.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.