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Finding the Third Proportional to 7,768,900 and 11,761,188

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Solution

The third proportional to 7,768,900 and 11,761,188 is: 17,805,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768,900 : 11,761,188 = 11,761,188 : x
  2. Step 2: Convert to fraction form
    7,768,900/11,761,188 = 11,761,188/x
  3. Step 3: Cross multiply
    7,768,900x = 11,761,188 × 11,761,188
  4. Step 4: Simplify right side
    7,768,900x = 138,325,543,171,344
  5. Step 5: Solve for x
    x = 138,325,543,171,344/7,768,900
  6. Step 6: Final answer
    x = 17,805,035.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.