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Finding the Third Proportional to 4,729,914 and 10,375,447

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Solution

The third proportional to 4,729,914 and 10,375,447 is: 22,759,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729,914 : 10,375,447 = 10,375,447 : x
  2. Step 2: Convert to fraction form
    4,729,914/10,375,447 = 10,375,447/x
  3. Step 3: Cross multiply
    4,729,914x = 10,375,447 × 10,375,447
  4. Step 4: Simplify right side
    4,729,914x = 107,649,900,449,809
  5. Step 5: Solve for x
    x = 107,649,900,449,809/4,729,914
  6. Step 6: Final answer
    x = 22,759,377.96

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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.