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Finding the Third Proportional to 33,959,211.75 and 52,956,631.13

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Solution

The third proportional to 33,959,211.75 and 52,956,631.13 is: 82,581,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,959,211.75 : 52,956,631.13 = 52,956,631.13 : x
  2. Step 2: Convert to fraction form
    33,959,211.75/52,956,631.13 = 52,956,631.13/x
  3. Step 3: Cross multiply
    33,959,211.75x = 52,956,631.13 × 52,956,631.13
  4. Step 4: Simplify right side
    33,959,211.75x = 2,804,404,780,109,319
  5. Step 5: Solve for x
    x = 2,804,404,780,109,319/33,959,211.75
  6. Step 6: Final answer
    x = 82,581,562.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.