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Finding the Third Proportional to 8,199,026 and 18,981,149

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Solution

The third proportional to 8,199,026 and 18,981,149 is: 43,942,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199,026 : 18,981,149 = 18,981,149 : x
  2. Step 2: Convert to fraction form
    8,199,026/18,981,149 = 18,981,149/x
  3. Step 3: Cross multiply
    8,199,026x = 18,981,149 × 18,981,149
  4. Step 4: Simplify right side
    8,199,026x = 360,284,017,360,201
  5. Step 5: Solve for x
    x = 360,284,017,360,201/8,199,026
  6. Step 6: Final answer
    x = 43,942,294.78

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.