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Finding the Third Proportional to 52,647,916 and 117,394,420

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Solution

The third proportional to 52,647,916 and 117,394,420 is: 261,766,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647,916 : 117,394,420 = 117,394,420 : x
  2. Step 2: Convert to fraction form
    52,647,916/117,394,420 = 117,394,420/x
  3. Step 3: Cross multiply
    52,647,916x = 117,394,420 × 117,394,420
  4. Step 4: Simplify right side
    52,647,916x = 13,781,449,847,136,400
  5. Step 5: Solve for x
    x = 13,781,449,847,136,400/52,647,916
  6. Step 6: Final answer
    x = 261,766,293.79

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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.