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Finding the Third Proportional to 5,969,424,214 and 12,777,410,662

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Solution

The third proportional to 5,969,424,214 and 12,777,410,662 is: 27,349,743,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969,424,214 : 12,777,410,662 = 12,777,410,662 : x
  2. Step 2: Convert to fraction form
    5,969,424,214/12,777,410,662 = 12,777,410,662/x
  3. Step 3: Cross multiply
    5,969,424,214x = 12,777,410,662 × 12,777,410,662
  4. Step 4: Simplify right side
    5,969,424,214x = 163,262,223,225,391,284,224
  5. Step 5: Solve for x
    x = 163,262,223,225,391,284,224/5,969,424,214
  6. Step 6: Final answer
    x = 27,349,743,856.79

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