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Finding the Third Proportional to 573,939,800,774 and 1,233,054,115,474

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Solution

The third proportional to 573,939,800,774 and 1,233,054,115,474 is: 2,649,097,430,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,939,800,774 : 1,233,054,115,474 = 1,233,054,115,474 : x
  2. Step 2: Convert to fraction form
    573,939,800,774/1,233,054,115,474 = 1,233,054,115,474/x
  3. Step 3: Cross multiply
    573,939,800,774x = 1,233,054,115,474 × 1,233,054,115,474
  4. Step 4: Simplify right side
    573,939,800,774x = 1,520,422,451,687,368,469,512,192
  5. Step 5: Solve for x
    x = 1,520,422,451,687,368,469,512,192/573,939,800,774
  6. Step 6: Final answer
    x = 2,649,097,430,840.25

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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.