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Finding the Third Proportional to 3,420,144 and 7,226,496

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Solution

The third proportional to 3,420,144 and 7,226,496 is: 15,269,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420,144 : 7,226,496 = 7,226,496 : x
  2. Step 2: Convert to fraction form
    3,420,144/7,226,496 = 7,226,496/x
  3. Step 3: Cross multiply
    3,420,144x = 7,226,496 × 7,226,496
  4. Step 4: Simplify right side
    3,420,144x = 52,222,244,438,016
  5. Step 5: Solve for x
    x = 52,222,244,438,016/3,420,144
  6. Step 6: Final answer
    x = 15,269,019.21

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.