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Finding the Third Proportional to 49,002,096 and 73,025,352

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Solution

The third proportional to 49,002,096 and 73,025,352 is: 108,825,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,002,096 : 73,025,352 = 73,025,352 : x
  2. Step 2: Convert to fraction form
    49,002,096/73,025,352 = 73,025,352/x
  3. Step 3: Cross multiply
    49,002,096x = 73,025,352 × 73,025,352
  4. Step 4: Simplify right side
    49,002,096x = 5,332,702,034,723,904
  5. Step 5: Solve for x
    x = 5,332,702,034,723,904/49,002,096
  6. Step 6: Final answer
    x = 108,825,998.68

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