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Finding the Third Proportional to 52,647,906 and 117,394,400

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Solution

The third proportional to 52,647,906 and 117,394,400 is: 261,766,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,647,906 : 117,394,400 = 117,394,400 : x
  2. Step 2: Convert to fraction form
    52,647,906/117,394,400 = 117,394,400/x
  3. Step 3: Cross multiply
    52,647,906x = 117,394,400 × 117,394,400
  4. Step 4: Simplify right side
    52,647,906x = 13,781,445,151,360,000
  5. Step 5: Solve for x
    x = 13,781,445,151,360,000/52,647,906
  6. Step 6: Final answer
    x = 261,766,254.32

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