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Finding the Third Proportional to 35,162,032 and 76,008,800

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Solution

The third proportional to 35,162,032 and 76,008,800 is: 164,306,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,162,032 : 76,008,800 = 76,008,800 : x
  2. Step 2: Convert to fraction form
    35,162,032/76,008,800 = 76,008,800/x
  3. Step 3: Cross multiply
    35,162,032x = 76,008,800 × 76,008,800
  4. Step 4: Simplify right side
    35,162,032x = 5,777,337,677,440,000
  5. Step 5: Solve for x
    x = 5,777,337,677,440,000/35,162,032
  6. Step 6: Final answer
    x = 164,306,137.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.