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Finding the Third Proportional to 54,475,193 and 80,941,048

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Solution

The third proportional to 54,475,193 and 80,941,048 is: 120,264,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,475,193 : 80,941,048 = 80,941,048 : x
  2. Step 2: Convert to fraction form
    54,475,193/80,941,048 = 80,941,048/x
  3. Step 3: Cross multiply
    54,475,193x = 80,941,048 × 80,941,048
  4. Step 4: Simplify right side
    54,475,193x = 6,551,453,251,338,304
  5. Step 5: Solve for x
    x = 6,551,453,251,338,304/54,475,193
  6. Step 6: Final answer
    x = 120,264,892.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.