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Finding the Third Proportional to 8,215,120 and 18,319,164

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Solution

The third proportional to 8,215,120 and 18,319,164 is: 40,850,501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215,120 : 18,319,164 = 18,319,164 : x
  2. Step 2: Convert to fraction form
    8,215,120/18,319,164 = 18,319,164/x
  3. Step 3: Cross multiply
    8,215,120x = 18,319,164 × 18,319,164
  4. Step 4: Simplify right side
    8,215,120x = 335,591,769,658,896
  5. Step 5: Solve for x
    x = 335,591,769,658,896/8,215,120
  6. Step 6: Final answer
    x = 40,850,501.23

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.