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Finding the Third Proportional to 37,933,150 and 54,205,649

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Solution

The third proportional to 37,933,150 and 54,205,649 is: 77,458,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,933,150 : 54,205,649 = 54,205,649 : x
  2. Step 2: Convert to fraction form
    37,933,150/54,205,649 = 54,205,649/x
  3. Step 3: Cross multiply
    37,933,150x = 54,205,649 × 54,205,649
  4. Step 4: Simplify right side
    37,933,150x = 2,938,252,383,511,201
  5. Step 5: Solve for x
    x = 2,938,252,383,511,201/37,933,150
  6. Step 6: Final answer
    x = 77,458,697.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.