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Finding the Third Proportional to 4,745,720 and 11,197,976

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Solution

The third proportional to 4,745,720 and 11,197,976 is: 26,422,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745,720 : 11,197,976 = 11,197,976 : x
  2. Step 2: Convert to fraction form
    4,745,720/11,197,976 = 11,197,976/x
  3. Step 3: Cross multiply
    4,745,720x = 11,197,976 × 11,197,976
  4. Step 4: Simplify right side
    4,745,720x = 125,394,666,496,576
  5. Step 5: Solve for x
    x = 125,394,666,496,576/4,745,720
  6. Step 6: Final answer
    x = 26,422,685.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.