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Finding the Third Proportional to 4,729,907 and 10,375,441

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Solution

The third proportional to 4,729,907 and 10,375,441 is: 22,759,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729,907 : 10,375,441 = 10,375,441 : x
  2. Step 2: Convert to fraction form
    4,729,907/10,375,441 = 10,375,441/x
  3. Step 3: Cross multiply
    4,729,907x = 10,375,441 × 10,375,441
  4. Step 4: Simplify right side
    4,729,907x = 107,649,775,944,481
  5. Step 5: Solve for x
    x = 107,649,775,944,481/4,729,907
  6. Step 6: Final answer
    x = 22,759,385.32

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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.