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Finding the Third Proportional to 11,291,814 and 17,944,830

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Solution

The third proportional to 11,291,814 and 17,944,830 is: 28,517,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,291,814 : 17,944,830 = 17,944,830 : x
  2. Step 2: Convert to fraction form
    11,291,814/17,944,830 = 17,944,830/x
  3. Step 3: Cross multiply
    11,291,814x = 17,944,830 × 17,944,830
  4. Step 4: Simplify right side
    11,291,814x = 322,016,923,728,900
  5. Step 5: Solve for x
    x = 322,016,923,728,900/11,291,814
  6. Step 6: Final answer
    x = 28,517,731.85

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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.