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Finding the Third Proportional to 36,568,584 and 76,163,854.50

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Solution

The third proportional to 36,568,584 and 76,163,854.50 is: 158,631,592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,568,584 : 76,163,854.50 = 76,163,854.50 : x
  2. Step 2: Convert to fraction form
    36,568,584/76,163,854.50 = 76,163,854.50/x
  3. Step 3: Cross multiply
    36,568,584x = 76,163,854.50 × 76,163,854.50
  4. Step 4: Simplify right side
    36,568,584x = 5,800,932,732,297,170
  5. Step 5: Solve for x
    x = 5,800,932,732,297,170/36,568,584
  6. Step 6: Final answer
    x = 158,631,592.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.