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Finding the Third Proportional to 75,328,452 and 106,619,010

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Solution

The third proportional to 75,328,452 and 106,619,010 is: 150,907,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,328,452 : 106,619,010 = 106,619,010 : x
  2. Step 2: Convert to fraction form
    75,328,452/106,619,010 = 106,619,010/x
  3. Step 3: Cross multiply
    75,328,452x = 106,619,010 × 106,619,010
  4. Step 4: Simplify right side
    75,328,452x = 11,367,613,293,380,100
  5. Step 5: Solve for x
    x = 11,367,613,293,380,100/75,328,452
  6. Step 6: Final answer
    x = 150,907,299.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.