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Finding the Third Proportional to 36,836,415 and 80,207,970.75

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Solution

The third proportional to 36,836,415 and 80,207,970.75 is: 174,645,620.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,836,415 : 80,207,970.75 = 80,207,970.75 : x
  2. Step 2: Convert to fraction form
    36,836,415/80,207,970.75 = 80,207,970.75/x
  3. Step 3: Cross multiply
    36,836,415x = 80,207,970.75 × 80,207,970.75
  4. Step 4: Simplify right side
    36,836,415x = 6,433,318,571,832,856
  5. Step 5: Solve for x
    x = 6,433,318,571,832,856/36,836,415
  6. Step 6: Final answer
    x = 174,645,620.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.