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Finding the Third Proportional to 14,073,560 and 30,738,256

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Solution

The third proportional to 14,073,560 and 30,738,256 is: 67,135,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073,560 : 30,738,256 = 30,738,256 : x
  2. Step 2: Convert to fraction form
    14,073,560/30,738,256 = 30,738,256/x
  3. Step 3: Cross multiply
    14,073,560x = 30,738,256 × 30,738,256
  4. Step 4: Simplify right side
    14,073,560x = 944,840,381,921,536
  5. Step 5: Solve for x
    x = 944,840,381,921,536/14,073,560
  6. Step 6: Final answer
    x = 67,135,847.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.