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Finding the Third Proportional to 33,694,047 and 48,149,568

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Solution

The third proportional to 33,694,047 and 48,149,568 is: 68,806,839.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,694,047 : 48,149,568 = 48,149,568 : x
  2. Step 2: Convert to fraction form
    33,694,047/48,149,568 = 48,149,568/x
  3. Step 3: Cross multiply
    33,694,047x = 48,149,568 × 48,149,568
  4. Step 4: Simplify right side
    33,694,047x = 2,318,380,898,586,624
  5. Step 5: Solve for x
    x = 2,318,380,898,586,624/33,694,047
  6. Step 6: Final answer
    x = 68,806,839.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.