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Finding the Third Proportional to 80,777,920 and 173,873,024

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Solution

The third proportional to 80,777,920 and 173,873,024 is: 374,258,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,777,920 : 173,873,024 = 173,873,024 : x
  2. Step 2: Convert to fraction form
    80,777,920/173,873,024 = 173,873,024/x
  3. Step 3: Cross multiply
    80,777,920x = 173,873,024 × 173,873,024
  4. Step 4: Simplify right side
    80,777,920x = 30,231,828,474,904,576
  5. Step 5: Solve for x
    x = 30,231,828,474,904,576/80,777,920
  6. Step 6: Final answer
    x = 374,258,565.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.