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Finding the Third Proportional to 52,647,904 and 117,394,396

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Solution

The third proportional to 52,647,904 and 117,394,396 is: 261,766,246.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647,904 : 117,394,396 = 117,394,396 : x
  2. Step 2: Convert to fraction form
    52,647,904/117,394,396 = 117,394,396/x
  3. Step 3: Cross multiply
    52,647,904x = 117,394,396 × 117,394,396
  4. Step 4: Simplify right side
    52,647,904x = 13,781,444,212,204,816
  5. Step 5: Solve for x
    x = 13,781,444,212,204,816/52,647,904
  6. Step 6: Final answer
    x = 261,766,246.42

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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.