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Finding the Third Proportional to 5,074,874 and 11,841,770

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Solution

The third proportional to 5,074,874 and 11,841,770 is: 27,631,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,074,874 : 11,841,770 = 11,841,770 : x
  2. Step 2: Convert to fraction form
    5,074,874/11,841,770 = 11,841,770/x
  3. Step 3: Cross multiply
    5,074,874x = 11,841,770 × 11,841,770
  4. Step 4: Simplify right side
    5,074,874x = 140,227,516,732,900
  5. Step 5: Solve for x
    x = 140,227,516,732,900/5,074,874
  6. Step 6: Final answer
    x = 27,631,723.81

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.