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Finding the Third Proportional to 2,365,914 and 5,147,016

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Solution

The third proportional to 2,365,914 and 5,147,016 is: 11,197,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,914 : 5,147,016 = 5,147,016 : x
  2. Step 2: Convert to fraction form
    2,365,914/5,147,016 = 5,147,016/x
  3. Step 3: Cross multiply
    2,365,914x = 5,147,016 × 5,147,016
  4. Step 4: Simplify right side
    2,365,914x = 26,491,773,704,256
  5. Step 5: Solve for x
    x = 26,491,773,704,256/2,365,914
  6. Step 6: Final answer
    x = 11,197,268.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.