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Finding the Third Proportional to 6,741,625 and 14,857,526

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Solution

The third proportional to 6,741,625 and 14,857,526 is: 32,743,749.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741,625 : 14,857,526 = 14,857,526 : x
  2. Step 2: Convert to fraction form
    6,741,625/14,857,526 = 14,857,526/x
  3. Step 3: Cross multiply
    6,741,625x = 14,857,526 × 14,857,526
  4. Step 4: Simplify right side
    6,741,625x = 220,746,078,840,676
  5. Step 5: Solve for x
    x = 220,746,078,840,676/6,741,625
  6. Step 6: Final answer
    x = 32,743,749.29

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Why These Related Problems?

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