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Finding the Third Proportional to 2,567,984 and 5,467,744

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Solution

The third proportional to 2,567,984 and 5,467,744 is: 11,641,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567,984 : 5,467,744 = 5,467,744 : x
  2. Step 2: Convert to fraction form
    2,567,984/5,467,744 = 5,467,744/x
  3. Step 3: Cross multiply
    2,567,984x = 5,467,744 × 5,467,744
  4. Step 4: Simplify right side
    2,567,984x = 29,896,224,449,536
  5. Step 5: Solve for x
    x = 29,896,224,449,536/2,567,984
  6. Step 6: Final answer
    x = 11,641,904.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.