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Finding the Third Proportional to 6,397,194 and 13,247,094

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Solution

The third proportional to 6,397,194 and 13,247,094 is: 27,431,636.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397,194 : 13,247,094 = 13,247,094 : x
  2. Step 2: Convert to fraction form
    6,397,194/13,247,094 = 13,247,094/x
  3. Step 3: Cross multiply
    6,397,194x = 13,247,094 × 13,247,094
  4. Step 4: Simplify right side
    6,397,194x = 175,485,499,444,836
  5. Step 5: Solve for x
    x = 175,485,499,444,836/6,397,194
  6. Step 6: Final answer
    x = 27,431,636.35

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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.