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Finding the Third Proportional to 35,375,864 and 76,163,824

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Solution

The third proportional to 35,375,864 and 76,163,824 is: 163,979,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,375,864 : 76,163,824 = 76,163,824 : x
  2. Step 2: Convert to fraction form
    35,375,864/76,163,824 = 76,163,824/x
  3. Step 3: Cross multiply
    35,375,864x = 76,163,824 × 76,163,824
  4. Step 4: Simplify right side
    35,375,864x = 5,800,928,086,302,976
  5. Step 5: Solve for x
    x = 5,800,928,086,302,976/35,375,864
  6. Step 6: Final answer
    x = 163,979,827.78

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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.