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Finding the Third Proportional to 17,633,408 and 27,235,846

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Solution

The third proportional to 17,633,408 and 27,235,846 is: 42,067,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,633,408 : 27,235,846 = 27,235,846 : x
  2. Step 2: Convert to fraction form
    17,633,408/27,235,846 = 27,235,846/x
  3. Step 3: Cross multiply
    17,633,408x = 27,235,846 × 27,235,846
  4. Step 4: Simplify right side
    17,633,408x = 741,791,307,335,716
  5. Step 5: Solve for x
    x = 741,791,307,335,716/17,633,408
  6. Step 6: Final answer
    x = 42,067,381.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.