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Finding the Third Proportional to 2,568,144 and 5,468,064

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Solution

The third proportional to 2,568,144 and 5,468,064 is: 11,642,541.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568,144 : 5,468,064 = 5,468,064 : x
  2. Step 2: Convert to fraction form
    2,568,144/5,468,064 = 5,468,064/x
  3. Step 3: Cross multiply
    2,568,144x = 5,468,064 × 5,468,064
  4. Step 4: Simplify right side
    2,568,144x = 29,899,723,908,096
  5. Step 5: Solve for x
    x = 29,899,723,908,096/2,568,144
  6. Step 6: Final answer
    x = 11,642,541.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.