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Finding the Third Proportional to 3,966,814 and 8,142,716

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Solution

The third proportional to 3,966,814 and 8,142,716 is: 16,714,628.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966,814 : 8,142,716 = 8,142,716 : x
  2. Step 2: Convert to fraction form
    3,966,814/8,142,716 = 8,142,716/x
  3. Step 3: Cross multiply
    3,966,814x = 8,142,716 × 8,142,716
  4. Step 4: Simplify right side
    3,966,814x = 66,303,823,856,656
  5. Step 5: Solve for x
    x = 66,303,823,856,656/3,966,814
  6. Step 6: Final answer
    x = 16,714,628.88

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.