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Finding the Third Proportional to 36,087,801 and 84,207,775.50

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Solution

The third proportional to 36,087,801 and 84,207,775.50 is: 196,491,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,087,801 : 84,207,775.50 = 84,207,775.50 : x
  2. Step 2: Convert to fraction form
    36,087,801/84,207,775.50 = 84,207,775.50/x
  3. Step 3: Cross multiply
    36,087,801x = 84,207,775.50 × 84,207,775.50
  4. Step 4: Simplify right side
    36,087,801x = 7,090,949,454,658,400
  5. Step 5: Solve for x
    x = 7,090,949,454,658,400/36,087,801
  6. Step 6: Final answer
    x = 196,491,591.57

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.