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Finding the Third Proportional to 5,897,049 and 12,613,839

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Solution

The third proportional to 5,897,049 and 12,613,839 is: 26,981,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897,049 : 12,613,839 = 12,613,839 : x
  2. Step 2: Convert to fraction form
    5,897,049/12,613,839 = 12,613,839/x
  3. Step 3: Cross multiply
    5,897,049x = 12,613,839 × 12,613,839
  4. Step 4: Simplify right side
    5,897,049x = 159,108,934,317,921
  5. Step 5: Solve for x
    x = 159,108,934,317,921/5,897,049
  6. Step 6: Final answer
    x = 26,981,111.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.