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Finding the Third Proportional to 5,439,464 and 11,839,741

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Solution

The third proportional to 5,439,464 and 11,839,741 is: 25,770,823.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439,464 : 11,839,741 = 11,839,741 : x
  2. Step 2: Convert to fraction form
    5,439,464/11,839,741 = 11,839,741/x
  3. Step 3: Cross multiply
    5,439,464x = 11,839,741 × 11,839,741
  4. Step 4: Simplify right side
    5,439,464x = 140,179,466,947,081
  5. Step 5: Solve for x
    x = 140,179,466,947,081/5,439,464
  6. Step 6: Final answer
    x = 25,770,823.55

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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.