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Finding the Third Proportional to 61,394,072 and 132,078,520

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Solution

The third proportional to 61,394,072 and 132,078,520 is: 284,143,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,394,072 : 132,078,520 = 132,078,520 : x
  2. Step 2: Convert to fraction form
    61,394,072/132,078,520 = 132,078,520/x
  3. Step 3: Cross multiply
    61,394,072x = 132,078,520 × 132,078,520
  4. Step 4: Simplify right side
    61,394,072x = 17,444,735,445,390,400
  5. Step 5: Solve for x
    x = 17,444,735,445,390,400/61,394,072
  6. Step 6: Final answer
    x = 284,143,645.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.