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Finding the Third Proportional to 33,566,454 and 73,372,891.50

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Solution

The third proportional to 33,566,454 and 73,372,891.50 is: 160,385,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,566,454 : 73,372,891.50 = 73,372,891.50 : x
  2. Step 2: Convert to fraction form
    33,566,454/73,372,891.50 = 73,372,891.50/x
  3. Step 3: Cross multiply
    33,566,454x = 73,372,891.50 × 73,372,891.50
  4. Step 4: Simplify right side
    33,566,454x = 5,383,581,207,070,772
  5. Step 5: Solve for x
    x = 5,383,581,207,070,772/33,566,454
  6. Step 6: Final answer
    x = 160,385,759.16

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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.