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Finding the Third Proportional to 2,594,325,932 and 5,707,511,512

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Solution

The third proportional to 2,594,325,932 and 5,707,511,512 is: 12,556,513,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594,325,932 : 5,707,511,512 = 5,707,511,512 : x
  2. Step 2: Convert to fraction form
    2,594,325,932/5,707,511,512 = 5,707,511,512/x
  3. Step 3: Cross multiply
    2,594,325,932x = 5,707,511,512 × 5,707,511,512
  4. Step 4: Simplify right side
    2,594,325,932x = 32,575,687,659,612,524,544
  5. Step 5: Solve for x
    x = 32,575,687,659,612,524,544/2,594,325,932
  6. Step 6: Final answer
    x = 12,556,513,141.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.