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Finding the Third Proportional to 1,279,102,049,842 and 2,844,193,061,898

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Solution

The third proportional to 1,279,102,049,842 and 2,844,193,061,898 is: 6,324,307,098,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,102,049,842 : 2,844,193,061,898 = 2,844,193,061,898 : x
  2. Step 2: Convert to fraction form
    1,279,102,049,842/2,844,193,061,898 = 2,844,193,061,898/x
  3. Step 3: Cross multiply
    1,279,102,049,842x = 2,844,193,061,898 × 2,844,193,061,898
  4. Step 4: Simplify right side
    1,279,102,049,842x = 8,089,434,173,348,719,949,250,560
  5. Step 5: Solve for x
    x = 8,089,434,173,348,719,949,250,560/1,279,102,049,842
  6. Step 6: Final answer
    x = 6,324,307,098,364.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.