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Finding the Third Proportional to 7,161,744 and 13,958,016

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Solution

The third proportional to 7,161,744 and 13,958,016 is: 27,203,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161,744 : 13,958,016 = 13,958,016 : x
  2. Step 2: Convert to fraction form
    7,161,744/13,958,016 = 13,958,016/x
  3. Step 3: Cross multiply
    7,161,744x = 13,958,016 × 13,958,016
  4. Step 4: Simplify right side
    7,161,744x = 194,826,210,656,256
  5. Step 5: Solve for x
    x = 194,826,210,656,256/7,161,744
  6. Step 6: Final answer
    x = 27,203,738.45

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.