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Finding the Third Proportional to 33,412,016 and 53,165,612

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Solution

The third proportional to 33,412,016 and 53,165,612 is: 84,597,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,412,016 : 53,165,612 = 53,165,612 : x
  2. Step 2: Convert to fraction form
    33,412,016/53,165,612 = 53,165,612/x
  3. Step 3: Cross multiply
    33,412,016x = 53,165,612 × 53,165,612
  4. Step 4: Simplify right side
    33,412,016x = 2,826,582,299,334,544
  5. Step 5: Solve for x
    x = 2,826,582,299,334,544/33,412,016
  6. Step 6: Final answer
    x = 84,597,777.62

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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.