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Finding the Third Proportional to 35,568,864 and 82,336,794

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Solution

The third proportional to 35,568,864 and 82,336,794 is: 190,597,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,568,864 : 82,336,794 = 82,336,794 : x
  2. Step 2: Convert to fraction form
    35,568,864/82,336,794 = 82,336,794/x
  3. Step 3: Cross multiply
    35,568,864x = 82,336,794 × 82,336,794
  4. Step 4: Simplify right side
    35,568,864x = 6,779,347,646,198,436
  5. Step 5: Solve for x
    x = 6,779,347,646,198,436/35,568,864
  6. Step 6: Final answer
    x = 190,597,811.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.