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Finding the Third Proportional to 6,397,185 and 13,247,082

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Solution

The third proportional to 6,397,185 and 13,247,082 is: 27,431,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397,185 : 13,247,082 = 13,247,082 : x
  2. Step 2: Convert to fraction form
    6,397,185/13,247,082 = 13,247,082/x
  3. Step 3: Cross multiply
    6,397,185x = 13,247,082 × 13,247,082
  4. Step 4: Simplify right side
    6,397,185x = 175,485,181,514,724
  5. Step 5: Solve for x
    x = 175,485,181,514,724/6,397,185
  6. Step 6: Final answer
    x = 27,431,625.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.