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Finding the Third Proportional to 61,691,943,874 and 134,336,025,900

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Solution

The third proportional to 61,691,943,874 and 134,336,025,900 is: 292,520,655,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,691,943,874 : 134,336,025,900 = 134,336,025,900 : x
  2. Step 2: Convert to fraction form
    61,691,943,874/134,336,025,900 = 134,336,025,900/x
  3. Step 3: Cross multiply
    61,691,943,874x = 134,336,025,900 × 134,336,025,900
  4. Step 4: Simplify right side
    61,691,943,874x = 18,046,167,854,605,471,318,016
  5. Step 5: Solve for x
    x = 18,046,167,854,605,471,318,016/61,691,943,874
  6. Step 6: Final answer
    x = 292,520,655,394.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.