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Finding the Third Proportional to 25,469,825 and 36,005,162

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Solution

The third proportional to 25,469,825 and 36,005,162 is: 50,898,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,469,825 : 36,005,162 = 36,005,162 : x
  2. Step 2: Convert to fraction form
    25,469,825/36,005,162 = 36,005,162/x
  3. Step 3: Cross multiply
    25,469,825x = 36,005,162 × 36,005,162
  4. Step 4: Simplify right side
    25,469,825x = 1,296,371,690,646,244
  5. Step 5: Solve for x
    x = 1,296,371,690,646,244/25,469,825
  6. Step 6: Final answer
    x = 50,898,335.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.