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Finding the Third Proportional to 6,143,204 and 8,270,022

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Solution

The third proportional to 6,143,204 and 8,270,022 is: 11,133,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143,204 : 8,270,022 = 8,270,022 : x
  2. Step 2: Convert to fraction form
    6,143,204/8,270,022 = 8,270,022/x
  3. Step 3: Cross multiply
    6,143,204x = 8,270,022 × 8,270,022
  4. Step 4: Simplify right side
    6,143,204x = 68,393,263,880,484
  5. Step 5: Solve for x
    x = 68,393,263,880,484/6,143,204
  6. Step 6: Final answer
    x = 11,133,158.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.