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Finding the Third Proportional to 8,555,198 and 19,023,188

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Solution

The third proportional to 8,555,198 and 19,023,188 is: 42,299,626.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,555,198 : 19,023,188 = 19,023,188 : x
  2. Step 2: Convert to fraction form
    8,555,198/19,023,188 = 19,023,188/x
  3. Step 3: Cross multiply
    8,555,198x = 19,023,188 × 19,023,188
  4. Step 4: Simplify right side
    8,555,198x = 361,881,681,683,344
  5. Step 5: Solve for x
    x = 361,881,681,683,344/8,555,198
  6. Step 6: Final answer
    x = 42,299,626.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.