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Finding the Third Proportional to 32,032,662 and 49,641,534

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Solution

The third proportional to 32,032,662 and 49,641,534 is: 76,930,287.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,032,662 : 49,641,534 = 49,641,534 : x
  2. Step 2: Convert to fraction form
    32,032,662/49,641,534 = 49,641,534/x
  3. Step 3: Cross multiply
    32,032,662x = 49,641,534 × 49,641,534
  4. Step 4: Simplify right side
    32,032,662x = 2,464,281,897,873,156
  5. Step 5: Solve for x
    x = 2,464,281,897,873,156/32,032,662
  6. Step 6: Final answer
    x = 76,930,287.53

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