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Finding the Third Proportional to 8,293,324.50 and 17,248,743

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Solution

The third proportional to 8,293,324.50 and 17,248,743 is: 35,874,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293,324.50 : 17,248,743 = 17,248,743 : x
  2. Step 2: Convert to fraction form
    8,293,324.50/17,248,743 = 17,248,743/x
  3. Step 3: Cross multiply
    8,293,324.50x = 17,248,743 × 17,248,743
  4. Step 4: Simplify right side
    8,293,324.50x = 297,519,135,080,049
  5. Step 5: Solve for x
    x = 297,519,135,080,049/8,293,324.50
  6. Step 6: Final answer
    x = 35,874,531.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.