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Finding the Third Proportional to 827,077,848,922.50 and 1,770,340,477,195.50

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Solution

The third proportional to 827,077,848,922.50 and 1,770,340,477,195.50 is: 3,789,371,713,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,077,848,922.50 : 1,770,340,477,195.50 = 1,770,340,477,195.50 : x
  2. Step 2: Convert to fraction form
    827,077,848,922.50/1,770,340,477,195.50 = 1,770,340,477,195.50/x
  3. Step 3: Cross multiply
    827,077,848,922.50x = 1,770,340,477,195.50 × 1,770,340,477,195.50
  4. Step 4: Simplify right side
    827,077,848,922.50x = 3,134,105,405,196,790,556,262,400
  5. Step 5: Solve for x
    x = 3,134,105,405,196,790,556,262,400/827,077,848,922.50
  6. Step 6: Final answer
    x = 3,789,371,713,049.55

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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.