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Finding the Third Proportional to 40,348,821 and 83,568,677

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Solution

The third proportional to 40,348,821 and 83,568,677 is: 173,083,713.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348,821 : 83,568,677 = 83,568,677 : x
  2. Step 2: Convert to fraction form
    40,348,821/83,568,677 = 83,568,677/x
  3. Step 3: Cross multiply
    40,348,821x = 83,568,677 × 83,568,677
  4. Step 4: Simplify right side
    40,348,821x = 6,983,723,775,530,329
  5. Step 5: Solve for x
    x = 6,983,723,775,530,329/40,348,821
  6. Step 6: Final answer
    x = 173,083,713.54

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.