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Finding the Third Proportional to 33,920,170 and 74,300,008

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Solution

The third proportional to 33,920,170 and 74,300,008 is: 162,749,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,920,170 : 74,300,008 = 74,300,008 : x
  2. Step 2: Convert to fraction form
    33,920,170/74,300,008 = 74,300,008/x
  3. Step 3: Cross multiply
    33,920,170x = 74,300,008 × 74,300,008
  4. Step 4: Simplify right side
    33,920,170x = 5,520,491,188,800,064
  5. Step 5: Solve for x
    x = 5,520,491,188,800,064/33,920,170
  6. Step 6: Final answer
    x = 162,749,514.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.