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Finding the Third Proportional to 392,272,999,348 and 560,951,057,094

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Solution

The third proportional to 392,272,999,348 and 560,951,057,094 is: 802,160,966,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,272,999,348 : 560,951,057,094 = 560,951,057,094 : x
  2. Step 2: Convert to fraction form
    392,272,999,348/560,951,057,094 = 560,951,057,094/x
  3. Step 3: Cross multiply
    392,272,999,348x = 560,951,057,094 × 560,951,057,094
  4. Step 4: Simplify right side
    392,272,999,348x = 314,666,088,454,876,049,702,912
  5. Step 5: Solve for x
    x = 314,666,088,454,876,049,702,912/392,272,999,348
  6. Step 6: Final answer
    x = 802,160,966,923.25

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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.