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Finding the Third Proportional to 27,469,609.50 and 42,514,812

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Solution

The third proportional to 27,469,609.50 and 42,514,812 is: 65,800,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469,609.50 : 42,514,812 = 42,514,812 : x
  2. Step 2: Convert to fraction form
    27,469,609.50/42,514,812 = 42,514,812/x
  3. Step 3: Cross multiply
    27,469,609.50x = 42,514,812 × 42,514,812
  4. Step 4: Simplify right side
    27,469,609.50x = 1,807,509,239,395,344
  5. Step 5: Solve for x
    x = 1,807,509,239,395,344/27,469,609.50
  6. Step 6: Final answer
    x = 65,800,325.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.