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Finding the Third Proportional to 4,729,930 and 10,375,484

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Solution

The third proportional to 4,729,930 and 10,375,484 is: 22,759,463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729,930 : 10,375,484 = 10,375,484 : x
  2. Step 2: Convert to fraction form
    4,729,930/10,375,484 = 10,375,484/x
  3. Step 3: Cross multiply
    4,729,930x = 10,375,484 × 10,375,484
  4. Step 4: Simplify right side
    4,729,930x = 107,650,668,234,256
  5. Step 5: Solve for x
    x = 107,650,668,234,256/4,729,930
  6. Step 6: Final answer
    x = 22,759,463.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.