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Finding the Third Proportional to 3,867,314 and 8,294,212

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Solution

The third proportional to 3,867,314 and 8,294,212 is: 17,788,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867,314 : 8,294,212 = 8,294,212 : x
  2. Step 2: Convert to fraction form
    3,867,314/8,294,212 = 8,294,212/x
  3. Step 3: Cross multiply
    3,867,314x = 8,294,212 × 8,294,212
  4. Step 4: Simplify right side
    3,867,314x = 68,793,952,700,944
  5. Step 5: Solve for x
    x = 68,793,952,700,944/3,867,314
  6. Step 6: Final answer
    x = 17,788,561.44

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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.