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Finding the Third Proportional to 32,640,856 and 49,381,089

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Solution

The third proportional to 32,640,856 and 49,381,089 is: 74,706,740.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640,856 : 49,381,089 = 49,381,089 : x
  2. Step 2: Convert to fraction form
    32,640,856/49,381,089 = 49,381,089/x
  3. Step 3: Cross multiply
    32,640,856x = 49,381,089 × 49,381,089
  4. Step 4: Simplify right side
    32,640,856x = 2,438,491,950,825,921
  5. Step 5: Solve for x
    x = 2,438,491,950,825,921/32,640,856
  6. Step 6: Final answer
    x = 74,706,740.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.