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Finding the Third Proportional to 37,859,081 and 82,351,426

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Solution

The third proportional to 37,859,081 and 82,351,426 is: 179,131,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,859,081 : 82,351,426 = 82,351,426 : x
  2. Step 2: Convert to fraction form
    37,859,081/82,351,426 = 82,351,426/x
  3. Step 3: Cross multiply
    37,859,081x = 82,351,426 × 82,351,426
  4. Step 4: Simplify right side
    37,859,081x = 6,781,757,364,233,476
  5. Step 5: Solve for x
    x = 6,781,757,364,233,476/37,859,081
  6. Step 6: Final answer
    x = 179,131,589.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.