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Finding the Third Proportional to 36,361,120 and 78,491,000

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Solution

The third proportional to 36,361,120 and 78,491,000 is: 169,434,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,361,120 : 78,491,000 = 78,491,000 : x
  2. Step 2: Convert to fraction form
    36,361,120/78,491,000 = 78,491,000/x
  3. Step 3: Cross multiply
    36,361,120x = 78,491,000 × 78,491,000
  4. Step 4: Simplify right side
    36,361,120x = 6,160,837,081,000,000
  5. Step 5: Solve for x
    x = 6,160,837,081,000,000/36,361,120
  6. Step 6: Final answer
    x = 169,434,744.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.