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Finding the Third Proportional to 9,450,022.50 and 14,172,115.50

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Solution

The third proportional to 9,450,022.50 and 14,172,115.50 is: 21,253,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,450,022.50 : 14,172,115.50 = 14,172,115.50 : x
  2. Step 2: Convert to fraction form
    9,450,022.50/14,172,115.50 = 14,172,115.50/x
  3. Step 3: Cross multiply
    9,450,022.50x = 14,172,115.50 × 14,172,115.50
  4. Step 4: Simplify right side
    9,450,022.50x = 200,848,857,745,340.25
  5. Step 5: Solve for x
    x = 200,848,857,745,340.25/9,450,022.50
  6. Step 6: Final answer
    x = 21,253,796.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.