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Finding the Third Proportional to 35,375,868 and 76,163,832

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Solution

The third proportional to 35,375,868 and 76,163,832 is: 163,979,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,375,868 : 76,163,832 = 76,163,832 : x
  2. Step 2: Convert to fraction form
    35,375,868/76,163,832 = 76,163,832/x
  3. Step 3: Cross multiply
    35,375,868x = 76,163,832 × 76,163,832
  4. Step 4: Simplify right side
    35,375,868x = 5,800,929,304,924,224
  5. Step 5: Solve for x
    x = 5,800,929,304,924,224/35,375,868
  6. Step 6: Final answer
    x = 163,979,843.69

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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.