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Finding the Third Proportional to 4,222,424 and 9,108,400

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Solution

The third proportional to 4,222,424 and 9,108,400 is: 19,648,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222,424 : 9,108,400 = 9,108,400 : x
  2. Step 2: Convert to fraction form
    4,222,424/9,108,400 = 9,108,400/x
  3. Step 3: Cross multiply
    4,222,424x = 9,108,400 × 9,108,400
  4. Step 4: Simplify right side
    4,222,424x = 82,962,950,560,000
  5. Step 5: Solve for x
    x = 82,962,950,560,000/4,222,424
  6. Step 6: Final answer
    x = 19,648,180.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.