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Finding the Third Proportional to 7,442,067.38 and 16,024,311

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Solution

The third proportional to 7,442,067.38 and 16,024,311 is: 34,503,657.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442,067.38 : 16,024,311 = 16,024,311 : x
  2. Step 2: Convert to fraction form
    7,442,067.38/16,024,311 = 16,024,311/x
  3. Step 3: Cross multiply
    7,442,067.38x = 16,024,311 × 16,024,311
  4. Step 4: Simplify right side
    7,442,067.38x = 256,778,543,024,721
  5. Step 5: Solve for x
    x = 256,778,543,024,721/7,442,067.38
  6. Step 6: Final answer
    x = 34,503,657.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.