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Finding the Third Proportional to 3,669,832 and 7,674,274

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Solution

The third proportional to 3,669,832 and 7,674,274 is: 16,048,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669,832 : 7,674,274 = 7,674,274 : x
  2. Step 2: Convert to fraction form
    3,669,832/7,674,274 = 7,674,274/x
  3. Step 3: Cross multiply
    3,669,832x = 7,674,274 × 7,674,274
  4. Step 4: Simplify right side
    3,669,832x = 58,894,481,427,076
  5. Step 5: Solve for x
    x = 58,894,481,427,076/3,669,832
  6. Step 6: Final answer
    x = 16,048,277.26

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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.