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Finding the Third Proportional to 27,815,846 and 56,417,780

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Solution

The third proportional to 27,815,846 and 56,417,780 is: 114,429,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,815,846 : 56,417,780 = 56,417,780 : x
  2. Step 2: Convert to fraction form
    27,815,846/56,417,780 = 56,417,780/x
  3. Step 3: Cross multiply
    27,815,846x = 56,417,780 × 56,417,780
  4. Step 4: Simplify right side
    27,815,846x = 3,182,965,900,128,400
  5. Step 5: Solve for x
    x = 3,182,965,900,128,400/27,815,846
  6. Step 6: Final answer
    x = 114,429,951.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.