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Finding the Third Proportional to 4,894,578 and 10,497,744

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Solution

The third proportional to 4,894,578 and 10,497,744 is: 22,515,246.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894,578 : 10,497,744 = 10,497,744 : x
  2. Step 2: Convert to fraction form
    4,894,578/10,497,744 = 10,497,744/x
  3. Step 3: Cross multiply
    4,894,578x = 10,497,744 × 10,497,744
  4. Step 4: Simplify right side
    4,894,578x = 110,202,629,089,536
  5. Step 5: Solve for x
    x = 110,202,629,089,536/4,894,578
  6. Step 6: Final answer
    x = 22,515,246.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.