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Finding the Third Proportional to 4,481,649 and 6,775,830

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Solution

The third proportional to 4,481,649 and 6,775,830 is: 10,244,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,481,649 : 6,775,830 = 6,775,830 : x
  2. Step 2: Convert to fraction form
    4,481,649/6,775,830 = 6,775,830/x
  3. Step 3: Cross multiply
    4,481,649x = 6,775,830 × 6,775,830
  4. Step 4: Simplify right side
    4,481,649x = 45,911,872,188,900
  5. Step 5: Solve for x
    x = 45,911,872,188,900/4,481,649
  6. Step 6: Final answer
    x = 10,244,414.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.