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Finding the Third Proportional to 5,234,994 and 7,821,219

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Solution

The third proportional to 5,234,994 and 7,821,219 is: 11,685,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234,994 : 7,821,219 = 7,821,219 : x
  2. Step 2: Convert to fraction form
    5,234,994/7,821,219 = 7,821,219/x
  3. Step 3: Cross multiply
    5,234,994x = 7,821,219 × 7,821,219
  4. Step 4: Simplify right side
    5,234,994x = 61,171,466,645,961
  5. Step 5: Solve for x
    x = 61,171,466,645,961/5,234,994
  6. Step 6: Final answer
    x = 11,685,107.31

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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.