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Finding the Third Proportional to 5,234,992 and 7,821,216

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Solution

The third proportional to 5,234,992 and 7,821,216 is: 11,685,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234,992 : 7,821,216 = 7,821,216 : x
  2. Step 2: Convert to fraction form
    5,234,992/7,821,216 = 7,821,216/x
  3. Step 3: Cross multiply
    5,234,992x = 7,821,216 × 7,821,216
  4. Step 4: Simplify right side
    5,234,992x = 61,171,419,718,656
  5. Step 5: Solve for x
    x = 61,171,419,718,656/5,234,992
  6. Step 6: Final answer
    x = 11,685,102.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.