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Finding the Third Proportional to 2,770,405,874 and 6,094,887,456

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Solution

The third proportional to 2,770,405,874 and 6,094,887,456 is: 13,408,740,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770,405,874 : 6,094,887,456 = 6,094,887,456 : x
  2. Step 2: Convert to fraction form
    2,770,405,874/6,094,887,456 = 6,094,887,456/x
  3. Step 3: Cross multiply
    2,770,405,874x = 6,094,887,456 × 6,094,887,456
  4. Step 4: Simplify right side
    2,770,405,874x = 37,147,653,101,306,150,912
  5. Step 5: Solve for x
    x = 37,147,653,101,306,150,912/2,770,405,874
  6. Step 6: Final answer
    x = 13,408,740,376.25

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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.