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Finding the Third Proportional to 3,827,322 and 8,204,148

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Solution

The third proportional to 3,827,322 and 8,204,148 is: 17,586,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827,322 : 8,204,148 = 8,204,148 : x
  2. Step 2: Convert to fraction form
    3,827,322/8,204,148 = 8,204,148/x
  3. Step 3: Cross multiply
    3,827,322x = 8,204,148 × 8,204,148
  4. Step 4: Simplify right side
    3,827,322x = 67,308,044,405,904
  5. Step 5: Solve for x
    x = 67,308,044,405,904/3,827,322
  6. Step 6: Final answer
    x = 17,586,198.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.