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Finding the Third Proportional to 6,297,586 and 13,734,727

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Solution

The third proportional to 6,297,586 and 13,734,727 is: 29,954,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297,586 : 13,734,727 = 13,734,727 : x
  2. Step 2: Convert to fraction form
    6,297,586/13,734,727 = 13,734,727/x
  3. Step 3: Cross multiply
    6,297,586x = 13,734,727 × 13,734,727
  4. Step 4: Simplify right side
    6,297,586x = 188,642,725,764,529
  5. Step 5: Solve for x
    x = 188,642,725,764,529/6,297,586
  6. Step 6: Final answer
    x = 29,954,767.71

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Why These Related Problems?

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