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Finding the Third Proportional to 9,864,098 and 21,613,876

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Solution

The third proportional to 9,864,098 and 21,613,876 is: 47,359,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864,098 : 21,613,876 = 21,613,876 : x
  2. Step 2: Convert to fraction form
    9,864,098/21,613,876 = 21,613,876/x
  3. Step 3: Cross multiply
    9,864,098x = 21,613,876 × 21,613,876
  4. Step 4: Simplify right side
    9,864,098x = 467,159,635,743,376
  5. Step 5: Solve for x
    x = 467,159,635,743,376/9,864,098
  6. Step 6: Final answer
    x = 47,359,589.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.