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Finding the Third Proportional to 9,982,321.50 and 20,437,521

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Solution

The third proportional to 9,982,321.50 and 20,437,521 is: 41,843,198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,321.50 : 20,437,521 = 20,437,521 : x
  2. Step 2: Convert to fraction form
    9,982,321.50/20,437,521 = 20,437,521/x
  3. Step 3: Cross multiply
    9,982,321.50x = 20,437,521 × 20,437,521
  4. Step 4: Simplify right side
    9,982,321.50x = 417,692,264,625,441
  5. Step 5: Solve for x
    x = 417,692,264,625,441/9,982,321.50
  6. Step 6: Final answer
    x = 41,843,198.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.