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Finding the Third Proportional to 3,940,814 and 8,470,921

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Solution

The third proportional to 3,940,814 and 8,470,921 is: 18,208,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940,814 : 8,470,921 = 8,470,921 : x
  2. Step 2: Convert to fraction form
    3,940,814/8,470,921 = 8,470,921/x
  3. Step 3: Cross multiply
    3,940,814x = 8,470,921 × 8,470,921
  4. Step 4: Simplify right side
    3,940,814x = 71,756,502,588,241
  5. Step 5: Solve for x
    x = 71,756,502,588,241/3,940,814
  6. Step 6: Final answer
    x = 18,208,548.43

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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.