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Finding the Third Proportional to 25,910,103 and 38,722,414.50

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Solution

The third proportional to 25,910,103 and 38,722,414.50 is: 57,870,298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,910,103 : 38,722,414.50 = 38,722,414.50 : x
  2. Step 2: Convert to fraction form
    25,910,103/38,722,414.50 = 38,722,414.50/x
  3. Step 3: Cross multiply
    25,910,103x = 38,722,414.50 × 38,722,414.50
  4. Step 4: Simplify right side
    25,910,103x = 1,499,425,384,709,810.25
  5. Step 5: Solve for x
    x = 1,499,425,384,709,810.25/25,910,103
  6. Step 6: Final answer
    x = 57,870,298.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.