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Finding the Third Proportional to 76,752,784 and 125,317,121

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Solution

The third proportional to 76,752,784 and 125,317,121 is: 204,609,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,752,784 : 125,317,121 = 125,317,121 : x
  2. Step 2: Convert to fraction form
    76,752,784/125,317,121 = 125,317,121/x
  3. Step 3: Cross multiply
    76,752,784x = 125,317,121 × 125,317,121
  4. Step 4: Simplify right side
    76,752,784x = 15,704,380,815,728,640
  5. Step 5: Solve for x
    x = 15,704,380,815,728,640/76,752,784
  6. Step 6: Final answer
    x = 204,609,917.68

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.