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Finding the Third Proportional to 20,489,719.50 and 41,802,472.41

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Solution

The third proportional to 20,489,719.50 and 41,802,472.41 is: 85,284,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,489,719.50 : 41,802,472.41 = 41,802,472.41 : x
  2. Step 2: Convert to fraction form
    20,489,719.50/41,802,472.41 = 41,802,472.41/x
  3. Step 3: Cross multiply
    20,489,719.50x = 41,802,472.41 × 41,802,472.41
  4. Step 4: Simplify right side
    20,489,719.50x = 1,747,446,699,275,292.75
  5. Step 5: Solve for x
    x = 1,747,446,699,275,292.75/20,489,719.50
  6. Step 6: Final answer
    x = 85,284,071.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.