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Finding the Third Proportional to 31,836,168 and 68,214,744

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Solution

The third proportional to 31,836,168 and 68,214,744 is: 146,162,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,836,168 : 68,214,744 = 68,214,744 : x
  2. Step 2: Convert to fraction form
    31,836,168/68,214,744 = 68,214,744/x
  3. Step 3: Cross multiply
    31,836,168x = 68,214,744 × 68,214,744
  4. Step 4: Simplify right side
    31,836,168x = 4,653,251,298,985,536
  5. Step 5: Solve for x
    x = 4,653,251,298,985,536/31,836,168
  6. Step 6: Final answer
    x = 146,162,418.13

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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.