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Finding the Third Proportional to 6,741,401 and 14,744,012

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Solution

The third proportional to 6,741,401 and 14,744,012 is: 32,246,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741,401 : 14,744,012 = 14,744,012 : x
  2. Step 2: Convert to fraction form
    6,741,401/14,744,012 = 14,744,012/x
  3. Step 3: Cross multiply
    6,741,401x = 14,744,012 × 14,744,012
  4. Step 4: Simplify right side
    6,741,401x = 217,385,889,856,144
  5. Step 5: Solve for x
    x = 217,385,889,856,144/6,741,401
  6. Step 6: Final answer
    x = 32,246,396.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.