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Finding the Third Proportional to 1,279,102,049,311 and 2,844,193,060,434

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Solution

The third proportional to 1,279,102,049,311 and 2,844,193,060,434 is: 6,324,307,094,479.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,102,049,311 : 2,844,193,060,434 = 2,844,193,060,434 : x
  2. Step 2: Convert to fraction form
    1,279,102,049,311/2,844,193,060,434 = 2,844,193,060,434/x
  3. Step 3: Cross multiply
    1,279,102,049,311x = 2,844,193,060,434 × 2,844,193,060,434
  4. Step 4: Simplify right side
    1,279,102,049,311x = 8,089,434,165,020,923,317,452,800
  5. Step 5: Solve for x
    x = 8,089,434,165,020,923,317,452,800/1,279,102,049,311
  6. Step 6: Final answer
    x = 6,324,307,094,479.58

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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.