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Finding the Third Proportional to 5,302,086.75 and 8,107,206.75

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Solution

The third proportional to 5,302,086.75 and 8,107,206.75 is: 12,396,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302,086.75 : 8,107,206.75 = 8,107,206.75 : x
  2. Step 2: Convert to fraction form
    5,302,086.75/8,107,206.75 = 8,107,206.75/x
  3. Step 3: Cross multiply
    5,302,086.75x = 8,107,206.75 × 8,107,206.75
  4. Step 4: Simplify right side
    5,302,086.75x = 65,726,801,287,245.56
  5. Step 5: Solve for x
    x = 65,726,801,287,245.56/5,302,086.75
  6. Step 6: Final answer
    x = 12,396,402.47

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.