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Finding the Third Proportional to 71,940,664 and 111,348,777

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Solution

The third proportional to 71,940,664 and 111,348,777 is: 172,344,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,940,664 : 111,348,777 = 111,348,777 : x
  2. Step 2: Convert to fraction form
    71,940,664/111,348,777 = 111,348,777/x
  3. Step 3: Cross multiply
    71,940,664x = 111,348,777 × 111,348,777
  4. Step 4: Simplify right side
    71,940,664x = 12,398,550,139,395,728
  5. Step 5: Solve for x
    x = 12,398,550,139,395,728/71,940,664
  6. Step 6: Final answer
    x = 172,344,115.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.