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Finding the Third Proportional to 6,162,744 and 13,741,728

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Solution

The third proportional to 6,162,744 and 13,741,728 is: 30,641,397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162,744 : 13,741,728 = 13,741,728 : x
  2. Step 2: Convert to fraction form
    6,162,744/13,741,728 = 13,741,728/x
  3. Step 3: Cross multiply
    6,162,744x = 13,741,728 × 13,741,728
  4. Step 4: Simplify right side
    6,162,744x = 188,835,088,425,984
  5. Step 5: Solve for x
    x = 188,835,088,425,984/6,162,744
  6. Step 6: Final answer
    x = 30,641,397.47

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.