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Finding the Third Proportional to 5,969,424,201.75 and 12,777,410,637

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Solution

The third proportional to 5,969,424,201.75 and 12,777,410,637 is: 27,349,743,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969,424,201.75 : 12,777,410,637 = 12,777,410,637 : x
  2. Step 2: Convert to fraction form
    5,969,424,201.75/12,777,410,637 = 12,777,410,637/x
  3. Step 3: Cross multiply
    5,969,424,201.75x = 12,777,410,637 × 12,777,410,637
  4. Step 4: Simplify right side
    5,969,424,201.75x = 163,262,222,586,520,731,648
  5. Step 5: Solve for x
    x = 163,262,222,586,520,731,648/5,969,424,201.75
  6. Step 6: Final answer
    x = 27,349,743,805.89

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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.