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Finding the Third Proportional to 8,205,704 and 17,856,304

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Solution

The third proportional to 8,205,704 and 17,856,304 is: 38,856,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205,704 : 17,856,304 = 17,856,304 : x
  2. Step 2: Convert to fraction form
    8,205,704/17,856,304 = 17,856,304/x
  3. Step 3: Cross multiply
    8,205,704x = 17,856,304 × 17,856,304
  4. Step 4: Simplify right side
    8,205,704x = 318,847,592,540,416
  5. Step 5: Solve for x
    x = 318,847,592,540,416/8,205,704
  6. Step 6: Final answer
    x = 38,856,823.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.