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Finding the Third Proportional to 37,727,760 and 80,833,902

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Solution

The third proportional to 37,727,760 and 80,833,902 is: 173,191,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,727,760 : 80,833,902 = 80,833,902 : x
  2. Step 2: Convert to fraction form
    37,727,760/80,833,902 = 80,833,902/x
  3. Step 3: Cross multiply
    37,727,760x = 80,833,902 × 80,833,902
  4. Step 4: Simplify right side
    37,727,760x = 6,534,119,712,545,604
  5. Step 5: Solve for x
    x = 6,534,119,712,545,604/37,727,760
  6. Step 6: Final answer
    x = 173,191,297.67

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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.