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Finding the Third Proportional to 8,231,200.13 and 17,726,647.88

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Solution

The third proportional to 8,231,200.13 and 17,726,647.88 is: 38,175,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231,200.13 : 17,726,647.88 = 17,726,647.88 : x
  2. Step 2: Convert to fraction form
    8,231,200.13/17,726,647.88 = 17,726,647.88/x
  3. Step 3: Cross multiply
    8,231,200.13x = 17,726,647.88 × 17,726,647.88
  4. Step 4: Simplify right side
    8,231,200.13x = 314,234,044,884,242
  5. Step 5: Solve for x
    x = 314,234,044,884,242/8,231,200.13
  6. Step 6: Final answer
    x = 38,175,969.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.