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Finding the Third Proportional to 568,442,198 and 1,236,980,020

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Solution

The third proportional to 568,442,198 and 1,236,980,020 is: 2,691,776,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,442,198 : 1,236,980,020 = 1,236,980,020 : x
  2. Step 2: Convert to fraction form
    568,442,198/1,236,980,020 = 1,236,980,020/x
  3. Step 3: Cross multiply
    568,442,198x = 1,236,980,020 × 1,236,980,020
  4. Step 4: Simplify right side
    568,442,198x = 1,530,119,569,879,200,512
  5. Step 5: Solve for x
    x = 1,530,119,569,879,200,512/568,442,198
  6. Step 6: Final answer
    x = 2,691,776,886.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.