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Finding the Third Proportional to 38,632,470 and 82,873,073

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Solution

The third proportional to 38,632,470 and 82,873,073 is: 177,776,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,632,470 : 82,873,073 = 82,873,073 : x
  2. Step 2: Convert to fraction form
    38,632,470/82,873,073 = 82,873,073/x
  3. Step 3: Cross multiply
    38,632,470x = 82,873,073 × 82,873,073
  4. Step 4: Simplify right side
    38,632,470x = 6,867,946,228,463,329
  5. Step 5: Solve for x
    x = 6,867,946,228,463,329/38,632,470
  6. Step 6: Final answer
    x = 177,776,523.96

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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.