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Finding the Third Proportional to 52,647,894 and 117,394,380

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Solution

The third proportional to 52,647,894 and 117,394,380 is: 261,766,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647,894 : 117,394,380 = 117,394,380 : x
  2. Step 2: Convert to fraction form
    52,647,894/117,394,380 = 117,394,380/x
  3. Step 3: Cross multiply
    52,647,894x = 117,394,380 × 117,394,380
  4. Step 4: Simplify right side
    52,647,894x = 13,781,440,455,584,400
  5. Step 5: Solve for x
    x = 13,781,440,455,584,400/52,647,894
  6. Step 6: Final answer
    x = 261,766,224.79

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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.