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Finding the Third Proportional to 37,727,769 and 80,833,920

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Solution

The third proportional to 37,727,769 and 80,833,920 is: 173,191,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,727,769 : 80,833,920 = 80,833,920 : x
  2. Step 2: Convert to fraction form
    37,727,769/80,833,920 = 80,833,920/x
  3. Step 3: Cross multiply
    37,727,769x = 80,833,920 × 80,833,920
  4. Step 4: Simplify right side
    37,727,769x = 6,534,122,622,566,400
  5. Step 5: Solve for x
    x = 6,534,122,622,566,400/37,727,769
  6. Step 6: Final answer
    x = 173,191,333.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.