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Finding the Third Proportional to 8,555,200 and 19,023,192

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Solution

The third proportional to 8,555,200 and 19,023,192 is: 42,299,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,555,200 : 19,023,192 = 19,023,192 : x
  2. Step 2: Convert to fraction form
    8,555,200/19,023,192 = 19,023,192/x
  3. Step 3: Cross multiply
    8,555,200x = 19,023,192 × 19,023,192
  4. Step 4: Simplify right side
    8,555,200x = 361,881,833,868,864
  5. Step 5: Solve for x
    x = 361,881,833,868,864/8,555,200
  6. Step 6: Final answer
    x = 42,299,634.59

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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.