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Finding the Third Proportional to 7,097,734.13 and 15,441,033.38

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Solution

The third proportional to 7,097,734.13 and 15,441,033.38 is: 33,591,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097,734.13 : 15,441,033.38 = 15,441,033.38 : x
  2. Step 2: Convert to fraction form
    7,097,734.13/15,441,033.38 = 15,441,033.38/x
  3. Step 3: Cross multiply
    7,097,734.13x = 15,441,033.38 × 15,441,033.38
  4. Step 4: Simplify right side
    7,097,734.13x = 238,425,511,687,863.88
  5. Step 5: Solve for x
    x = 238,425,511,687,863.88/7,097,734.13
  6. Step 6: Final answer
    x = 33,591,778.37

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