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Finding the Third Proportional to 20,678,098.50 and 34,343,694

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Solution

The third proportional to 20,678,098.50 and 34,343,694 is: 57,040,511.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,678,098.50 : 34,343,694 = 34,343,694 : x
  2. Step 2: Convert to fraction form
    20,678,098.50/34,343,694 = 34,343,694/x
  3. Step 3: Cross multiply
    20,678,098.50x = 34,343,694 × 34,343,694
  4. Step 4: Simplify right side
    20,678,098.50x = 1,179,489,317,565,636
  5. Step 5: Solve for x
    x = 1,179,489,317,565,636/20,678,098.50
  6. Step 6: Final answer
    x = 57,040,511.61

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.