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Finding the Third Proportional to 74,876,868 and 115,040,214

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Solution

The third proportional to 74,876,868 and 115,040,214 is: 176,746,853.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,876,868 : 115,040,214 = 115,040,214 : x
  2. Step 2: Convert to fraction form
    74,876,868/115,040,214 = 115,040,214/x
  3. Step 3: Cross multiply
    74,876,868x = 115,040,214 × 115,040,214
  4. Step 4: Simplify right side
    74,876,868x = 13,234,250,837,165,796
  5. Step 5: Solve for x
    x = 13,234,250,837,165,796/74,876,868
  6. Step 6: Final answer
    x = 176,746,853.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.