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Finding the Third Proportional to 437,840,160 and 951,890,960

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Solution

The third proportional to 437,840,160 and 951,890,960 is: 2,069,468,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,840,160 : 951,890,960 = 951,890,960 : x
  2. Step 2: Convert to fraction form
    437,840,160/951,890,960 = 951,890,960/x
  3. Step 3: Cross multiply
    437,840,160x = 951,890,960 × 951,890,960
  4. Step 4: Simplify right side
    437,840,160x = 906,096,399,729,721,600
  5. Step 5: Solve for x
    x = 906,096,399,729,721,600/437,840,160
  6. Step 6: Final answer
    x = 2,069,468,455.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.