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Finding the Third Proportional to 36,643,281 and 80,548,906.50

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Solution

The third proportional to 36,643,281 and 80,548,906.50 is: 177,061,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,643,281 : 80,548,906.50 = 80,548,906.50 : x
  2. Step 2: Convert to fraction form
    36,643,281/80,548,906.50 = 80,548,906.50/x
  3. Step 3: Cross multiply
    36,643,281x = 80,548,906.50 × 80,548,906.50
  4. Step 4: Simplify right side
    36,643,281x = 6,488,126,338,345,742
  5. Step 5: Solve for x
    x = 6,488,126,338,345,742/36,643,281
  6. Step 6: Final answer
    x = 177,061,828.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.