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Finding the Third Proportional to 7,085,204 and 11,279,442

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Solution

The third proportional to 7,085,204 and 11,279,442 is: 17,956,548.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,085,204 : 11,279,442 = 11,279,442 : x
  2. Step 2: Convert to fraction form
    7,085,204/11,279,442 = 11,279,442/x
  3. Step 3: Cross multiply
    7,085,204x = 11,279,442 × 11,279,442
  4. Step 4: Simplify right side
    7,085,204x = 127,225,811,831,364
  5. Step 5: Solve for x
    x = 127,225,811,831,364/7,085,204
  6. Step 6: Final answer
    x = 17,956,548.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.