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Finding the Third Proportional to 3,669,814 and 7,674,238

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Solution

The third proportional to 3,669,814 and 7,674,238 is: 16,048,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,814 : 7,674,238 = 7,674,238 : x
  2. Step 2: Convert to fraction form
    3,669,814/7,674,238 = 7,674,238/x
  3. Step 3: Cross multiply
    3,669,814x = 7,674,238 × 7,674,238
  4. Step 4: Simplify right side
    3,669,814x = 58,893,928,880,644
  5. Step 5: Solve for x
    x = 58,893,928,880,644/3,669,814
  6. Step 6: Final answer
    x = 16,048,205.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.