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Finding the Third Proportional to 33,412,008 and 53,165,600

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Solution

The third proportional to 33,412,008 and 53,165,600 is: 84,597,759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412,008 : 53,165,600 = 53,165,600 : x
  2. Step 2: Convert to fraction form
    33,412,008/53,165,600 = 53,165,600/x
  3. Step 3: Cross multiply
    33,412,008x = 53,165,600 × 53,165,600
  4. Step 4: Simplify right side
    33,412,008x = 2,826,581,023,360,000
  5. Step 5: Solve for x
    x = 2,826,581,023,360,000/33,412,008
  6. Step 6: Final answer
    x = 84,597,759.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.