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Finding the Third Proportional to 8,019,520 and 17,626,848

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Solution

The third proportional to 8,019,520 and 17,626,848 is: 38,743,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019,520 : 17,626,848 = 17,626,848 : x
  2. Step 2: Convert to fraction form
    8,019,520/17,626,848 = 17,626,848/x
  3. Step 3: Cross multiply
    8,019,520x = 17,626,848 × 17,626,848
  4. Step 4: Simplify right side
    8,019,520x = 310,705,770,415,104
  5. Step 5: Solve for x
    x = 310,705,770,415,104/8,019,520
  6. Step 6: Final answer
    x = 38,743,686.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.