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Finding the Third Proportional to 2,305,992,954,612 and 4,959,029,919,180

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Solution

The third proportional to 2,305,992,954,612 and 4,959,029,919,180 is: 10,664,376,788,375.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,992,954,612 : 4,959,029,919,180 = 4,959,029,919,180 : x
  2. Step 2: Convert to fraction form
    2,305,992,954,612/4,959,029,919,180 = 4,959,029,919,180/x
  3. Step 3: Cross multiply
    2,305,992,954,612x = 4,959,029,919,180 × 4,959,029,919,180
  4. Step 4: Simplify right side
    2,305,992,954,612x = 24,591,977,739,322,399,421,104,128
  5. Step 5: Solve for x
    x = 24,591,977,739,322,399,421,104,128/2,305,992,954,612
  6. Step 6: Final answer
    x = 10,664,376,788,375.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.