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Finding the Third Proportional to 8,083,992 and 17,226,249

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Solution

The third proportional to 8,083,992 and 17,226,249 is: 36,707,564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083,992 : 17,226,249 = 17,226,249 : x
  2. Step 2: Convert to fraction form
    8,083,992/17,226,249 = 17,226,249/x
  3. Step 3: Cross multiply
    8,083,992x = 17,226,249 × 17,226,249
  4. Step 4: Simplify right side
    8,083,992x = 296,743,654,610,001
  5. Step 5: Solve for x
    x = 296,743,654,610,001/8,083,992
  6. Step 6: Final answer
    x = 36,707,564.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.