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Finding the Third Proportional to 25,163,689,898 and 39,071,425,737

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Solution

The third proportional to 25,163,689,898 and 39,071,425,737 is: 60,665,836,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,163,689,898 : 39,071,425,737 = 39,071,425,737 : x
  2. Step 2: Convert to fraction form
    25,163,689,898/39,071,425,737 = 39,071,425,737/x
  3. Step 3: Cross multiply
    25,163,689,898x = 39,071,425,737 × 39,071,425,737
  4. Step 4: Simplify right side
    25,163,689,898x = 1,526,576,309,121,906,114,560
  5. Step 5: Solve for x
    x = 1,526,576,309,121,906,114,560/25,163,689,898
  6. Step 6: Final answer
    x = 60,665,836,978.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.