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Finding the Third Proportional to 9,498,165 and 22,399,311

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Solution

The third proportional to 9,498,165 and 22,399,311 is: 52,823,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498,165 : 22,399,311 = 22,399,311 : x
  2. Step 2: Convert to fraction form
    9,498,165/22,399,311 = 22,399,311/x
  3. Step 3: Cross multiply
    9,498,165x = 22,399,311 × 22,399,311
  4. Step 4: Simplify right side
    9,498,165x = 501,729,133,274,721
  5. Step 5: Solve for x
    x = 501,729,133,274,721/9,498,165
  6. Step 6: Final answer
    x = 52,823,796.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.