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Finding the Third Proportional to 6,741,627.75 and 14,857,530.75

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Solution

The third proportional to 6,741,627.75 and 14,857,530.75 is: 32,743,756.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741,627.75 : 14,857,530.75 = 14,857,530.75 : x
  2. Step 2: Convert to fraction form
    6,741,627.75/14,857,530.75 = 14,857,530.75/x
  3. Step 3: Cross multiply
    6,741,627.75x = 14,857,530.75 × 14,857,530.75
  4. Step 4: Simplify right side
    6,741,627.75x = 220,746,219,987,195.56
  5. Step 5: Solve for x
    x = 220,746,219,987,195.56/6,741,627.75
  6. Step 6: Final answer
    x = 32,743,756.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.