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Finding the Third Proportional to 31,995,218 and 51,522,843

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Solution

The third proportional to 31,995,218 and 51,522,843 is: 82,968,753.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,995,218 : 51,522,843 = 51,522,843 : x
  2. Step 2: Convert to fraction form
    31,995,218/51,522,843 = 51,522,843/x
  3. Step 3: Cross multiply
    31,995,218x = 51,522,843 × 51,522,843
  4. Step 4: Simplify right side
    31,995,218x = 2,654,603,350,802,649
  5. Step 5: Solve for x
    x = 2,654,603,350,802,649/31,995,218
  6. Step 6: Final answer
    x = 82,968,753.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.