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Finding the Third Proportional to 8,082,982 and 17,511,331

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Solution

The third proportional to 8,082,982 and 17,511,331 is: 37,937,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082,982 : 17,511,331 = 17,511,331 : x
  2. Step 2: Convert to fraction form
    8,082,982/17,511,331 = 17,511,331/x
  3. Step 3: Cross multiply
    8,082,982x = 17,511,331 × 17,511,331
  4. Step 4: Simplify right side
    8,082,982x = 306,646,713,391,561
  5. Step 5: Solve for x
    x = 306,646,713,391,561/8,082,982
  6. Step 6: Final answer
    x = 37,937,324.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.