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Finding the Third Proportional to 2,475,690,407 and 3,703,720,542

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Solution

The third proportional to 2,475,690,407 and 3,703,720,542 is: 5,540,897,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475,690,407 : 3,703,720,542 = 3,703,720,542 : x
  2. Step 2: Convert to fraction form
    2,475,690,407/3,703,720,542 = 3,703,720,542/x
  3. Step 3: Cross multiply
    2,475,690,407x = 3,703,720,542 × 3,703,720,542
  4. Step 4: Simplify right side
    2,475,690,407x = 13,717,545,853,232,773,120
  5. Step 5: Solve for x
    x = 13,717,545,853,232,773,120/2,475,690,407
  6. Step 6: Final answer
    x = 5,540,897,122.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.