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Finding the Third Proportional to 827,077,848,921 and 1,770,340,477,193

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Solution

The third proportional to 827,077,848,921 and 1,770,340,477,193 is: 3,789,371,713,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,077,848,921 : 1,770,340,477,193 = 1,770,340,477,193 : x
  2. Step 2: Convert to fraction form
    827,077,848,921/1,770,340,477,193 = 1,770,340,477,193/x
  3. Step 3: Cross multiply
    827,077,848,921x = 1,770,340,477,193 × 1,770,340,477,193
  4. Step 4: Simplify right side
    827,077,848,921x = 3,134,105,405,187,939,165,536,256
  5. Step 5: Solve for x
    x = 3,134,105,405,187,939,165,536,256/827,077,848,921
  6. Step 6: Final answer
    x = 3,789,371,713,045.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.