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Finding the Third Proportional to 392,272,999,381 and 560,951,057,143

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Solution

The third proportional to 392,272,999,381 and 560,951,057,143 is: 802,160,966,995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,272,999,381 : 560,951,057,143 = 560,951,057,143 : x
  2. Step 2: Convert to fraction form
    392,272,999,381/560,951,057,143 = 560,951,057,143/x
  3. Step 3: Cross multiply
    392,272,999,381x = 560,951,057,143 × 560,951,057,143
  4. Step 4: Simplify right side
    392,272,999,381x = 314,666,088,509,849,282,281,472
  5. Step 5: Solve for x
    x = 314,666,088,509,849,282,281,472/392,272,999,381
  6. Step 6: Final answer
    x = 802,160,966,995.91

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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.