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Finding the Third Proportional to 3,822,714 and 8,212,086

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Solution

The third proportional to 3,822,714 and 8,212,086 is: 17,641,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822,714 : 8,212,086 = 8,212,086 : x
  2. Step 2: Convert to fraction form
    3,822,714/8,212,086 = 8,212,086/x
  3. Step 3: Cross multiply
    3,822,714x = 8,212,086 × 8,212,086
  4. Step 4: Simplify right side
    3,822,714x = 67,438,356,471,396
  5. Step 5: Solve for x
    x = 67,438,356,471,396/3,822,714
  6. Step 6: Final answer
    x = 17,641,486.25

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.