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Finding the Third Proportional to 267,496,758 and 542,514,918

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Solution

The third proportional to 267,496,758 and 542,514,918 is: 1,100,284,124.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,496,758 : 542,514,918 = 542,514,918 : x
  2. Step 2: Convert to fraction form
    267,496,758/542,514,918 = 542,514,918/x
  3. Step 3: Cross multiply
    267,496,758x = 542,514,918 × 542,514,918
  4. Step 4: Simplify right side
    267,496,758x = 294,322,436,252,546,752
  5. Step 5: Solve for x
    x = 294,322,436,252,546,752/267,496,758
  6. Step 6: Final answer
    x = 1,100,284,124.76

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.