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Finding the Third Proportional to 9,131,675.25 and 13,709,524.50

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Solution

The third proportional to 9,131,675.25 and 13,709,524.50 is: 20,582,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131,675.25 : 13,709,524.50 = 13,709,524.50 : x
  2. Step 2: Convert to fraction form
    9,131,675.25/13,709,524.50 = 13,709,524.50/x
  3. Step 3: Cross multiply
    9,131,675.25x = 13,709,524.50 × 13,709,524.50
  4. Step 4: Simplify right side
    9,131,675.25x = 187,951,062,016,100.25
  5. Step 5: Solve for x
    x = 187,951,062,016,100.25/9,131,675.25
  6. Step 6: Final answer
    x = 20,582,319.99

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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.