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Finding the Third Proportional to 5,369,425,854 and 12,657,229,791

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Solution

The third proportional to 5,369,425,854 and 12,657,229,791 is: 29,836,610,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369,425,854 : 12,657,229,791 = 12,657,229,791 : x
  2. Step 2: Convert to fraction form
    5,369,425,854/12,657,229,791 = 12,657,229,791/x
  3. Step 3: Cross multiply
    5,369,425,854x = 12,657,229,791 × 12,657,229,791
  4. Step 4: Simplify right side
    5,369,425,854x = 160,205,465,982,177,902,592
  5. Step 5: Solve for x
    x = 160,205,465,982,177,902,592/5,369,425,854
  6. Step 6: Final answer
    x = 29,836,610,158.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.