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Finding the Third Proportional to 52,647,914 and 117,394,416

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Solution

The third proportional to 52,647,914 and 117,394,416 is: 261,766,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647,914 : 117,394,416 = 117,394,416 : x
  2. Step 2: Convert to fraction form
    52,647,914/117,394,416 = 117,394,416/x
  3. Step 3: Cross multiply
    52,647,914x = 117,394,416 × 117,394,416
  4. Step 4: Simplify right side
    52,647,914x = 13,781,448,907,981,056
  5. Step 5: Solve for x
    x = 13,781,448,907,981,056/52,647,914
  6. Step 6: Final answer
    x = 261,766,285.90

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.