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Finding the Third Proportional to 40,348,785 and 83,568,577

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Solution

The third proportional to 40,348,785 and 83,568,577 is: 173,083,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,348,785 : 83,568,577 = 83,568,577 : x
  2. Step 2: Convert to fraction form
    40,348,785/83,568,577 = 83,568,577/x
  3. Step 3: Cross multiply
    40,348,785x = 83,568,577 × 83,568,577
  4. Step 4: Simplify right side
    40,348,785x = 6,983,707,061,804,929
  5. Step 5: Solve for x
    x = 6,983,707,061,804,929/40,348,785
  6. Step 6: Final answer
    x = 173,083,453.73

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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.