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Finding the Third Proportional to 2,617,296 and 5,647,008

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Solution

The third proportional to 2,617,296 and 5,647,008 is: 12,183,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617,296 : 5,647,008 = 5,647,008 : x
  2. Step 2: Convert to fraction form
    2,617,296/5,647,008 = 5,647,008/x
  3. Step 3: Cross multiply
    2,617,296x = 5,647,008 × 5,647,008
  4. Step 4: Simplify right side
    2,617,296x = 31,888,699,352,064
  5. Step 5: Solve for x
    x = 31,888,699,352,064/2,617,296
  6. Step 6: Final answer
    x = 12,183,833.76

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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.