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Finding the Third Proportional to 33,566,285 and 51,832,217.50

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Solution

The third proportional to 33,566,285 and 51,832,217.50 is: 80,038,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,566,285 : 51,832,217.50 = 51,832,217.50 : x
  2. Step 2: Convert to fraction form
    33,566,285/51,832,217.50 = 51,832,217.50/x
  3. Step 3: Cross multiply
    33,566,285x = 51,832,217.50 × 51,832,217.50
  4. Step 4: Simplify right side
    33,566,285x = 2,686,578,770,967,306
  5. Step 5: Solve for x
    x = 2,686,578,770,967,306/33,566,285
  6. Step 6: Final answer
    x = 80,038,013.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.