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Finding the Third Proportional to 9,982,487 and 20,437,824

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Solution

The third proportional to 9,982,487 and 20,437,824 is: 41,843,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,487 : 20,437,824 = 20,437,824 : x
  2. Step 2: Convert to fraction form
    9,982,487/20,437,824 = 20,437,824/x
  3. Step 3: Cross multiply
    9,982,487x = 20,437,824 × 20,437,824
  4. Step 4: Simplify right side
    9,982,487x = 417,704,649,854,976
  5. Step 5: Solve for x
    x = 417,704,649,854,976/9,982,487
  6. Step 6: Final answer
    x = 41,843,745.94

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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.