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Finding the Third Proportional to 2,764,593,740 and 6,092,699,744

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Solution

The third proportional to 2,764,593,740 and 6,092,699,744 is: 13,427,285,764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764,593,740 : 6,092,699,744 = 6,092,699,744 : x
  2. Step 2: Convert to fraction form
    2,764,593,740/6,092,699,744 = 6,092,699,744/x
  3. Step 3: Cross multiply
    2,764,593,740x = 6,092,699,744 × 6,092,699,744
  4. Step 4: Simplify right side
    2,764,593,740x = 37,120,990,170,537,664,512
  5. Step 5: Solve for x
    x = 37,120,990,170,537,664,512/2,764,593,740
  6. Step 6: Final answer
    x = 13,427,285,764.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.