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Finding the Third Proportional to 51,768,758 and 82,414,067

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Solution

The third proportional to 51,768,758 and 82,414,067 is: 131,200,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,768,758 : 82,414,067 = 82,414,067 : x
  2. Step 2: Convert to fraction form
    51,768,758/82,414,067 = 82,414,067/x
  3. Step 3: Cross multiply
    51,768,758x = 82,414,067 × 82,414,067
  4. Step 4: Simplify right side
    51,768,758x = 6,792,078,439,480,489
  5. Step 5: Solve for x
    x = 6,792,078,439,480,489/51,768,758
  6. Step 6: Final answer
    x = 131,200,335.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.