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Finding the Third Proportional to 31,995,257 and 51,522,902

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Solution

The third proportional to 31,995,257 and 51,522,902 is: 82,968,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,995,257 : 51,522,902 = 51,522,902 : x
  2. Step 2: Convert to fraction form
    31,995,257/51,522,902 = 51,522,902/x
  3. Step 3: Cross multiply
    31,995,257x = 51,522,902 × 51,522,902
  4. Step 4: Simplify right side
    31,995,257x = 2,654,609,430,501,604
  5. Step 5: Solve for x
    x = 2,654,609,430,501,604/31,995,257
  6. Step 6: Final answer
    x = 82,968,842.24

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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.