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Finding the Third Proportional to 2,674,110 and 5,764,016

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Solution

The third proportional to 2,674,110 and 5,764,016 is: 12,424,275.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674,110 : 5,764,016 = 5,764,016 : x
  2. Step 2: Convert to fraction form
    2,674,110/5,764,016 = 5,764,016/x
  3. Step 3: Cross multiply
    2,674,110x = 5,764,016 × 5,764,016
  4. Step 4: Simplify right side
    2,674,110x = 33,223,880,448,256
  5. Step 5: Solve for x
    x = 33,223,880,448,256/2,674,110
  6. Step 6: Final answer
    x = 12,424,275.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.