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Finding the Third Proportional to 785,755,863 and 1,711,015,002

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Solution

The third proportional to 785,755,863 and 1,711,015,002 is: 3,725,803,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,755,863 : 1,711,015,002 = 1,711,015,002 : x
  2. Step 2: Convert to fraction form
    785,755,863/1,711,015,002 = 1,711,015,002/x
  3. Step 3: Cross multiply
    785,755,863x = 1,711,015,002 × 1,711,015,002
  4. Step 4: Simplify right side
    785,755,863x = 2,927,572,337,069,060,096
  5. Step 5: Solve for x
    x = 2,927,572,337,069,060,096/785,755,863
  6. Step 6: Final answer
    x = 3,725,803,999.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.