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Finding the Third Proportional to 2,475,690,404 and 3,703,720,538

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Solution

The third proportional to 2,475,690,404 and 3,703,720,538 is: 5,540,897,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475,690,404 : 3,703,720,538 = 3,703,720,538 : x
  2. Step 2: Convert to fraction form
    2,475,690,404/3,703,720,538 = 3,703,720,538/x
  3. Step 3: Cross multiply
    2,475,690,404x = 3,703,720,538 × 3,703,720,538
  4. Step 4: Simplify right side
    2,475,690,404x = 13,717,545,823,603,009,536
  5. Step 5: Solve for x
    x = 13,717,545,823,603,009,536/2,475,690,404
  6. Step 6: Final answer
    x = 5,540,897,117.60

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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.