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Finding the Third Proportional to 60,665,460,162 and 131,890,067,934

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Solution

The third proportional to 60,665,460,162 and 131,890,067,934 is: 286,736,307,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,665,460,162 : 131,890,067,934 = 131,890,067,934 : x
  2. Step 2: Convert to fraction form
    60,665,460,162/131,890,067,934 = 131,890,067,934/x
  3. Step 3: Cross multiply
    60,665,460,162x = 131,890,067,934 × 131,890,067,934
  4. Step 4: Simplify right side
    60,665,460,162x = 17,394,990,019,635,134,332,928
  5. Step 5: Solve for x
    x = 17,394,990,019,635,134,332,928/60,665,460,162
  6. Step 6: Final answer
    x = 286,736,307,170.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.