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Finding the Third Proportional to 785,755,924 and 1,711,015,128

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Solution

The third proportional to 785,755,924 and 1,711,015,128 is: 3,725,804,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,755,924 : 1,711,015,128 = 1,711,015,128 : x
  2. Step 2: Convert to fraction form
    785,755,924/1,711,015,128 = 1,711,015,128/x
  3. Step 3: Cross multiply
    785,755,924x = 1,711,015,128 × 1,711,015,128
  4. Step 4: Simplify right side
    785,755,924x = 2,927,572,768,244,856,320
  5. Step 5: Solve for x
    x = 2,927,572,768,244,856,320/785,755,924
  6. Step 6: Final answer
    x = 3,725,804,259.09

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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.