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Finding the Third Proportional to 21,933,104 and 47,523,512

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Solution

The third proportional to 21,933,104 and 47,523,512 is: 102,971,480.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933,104 : 47,523,512 = 47,523,512 : x
  2. Step 2: Convert to fraction form
    21,933,104/47,523,512 = 47,523,512/x
  3. Step 3: Cross multiply
    21,933,104x = 47,523,512 × 47,523,512
  4. Step 4: Simplify right side
    21,933,104x = 2,258,484,192,814,144
  5. Step 5: Solve for x
    x = 2,258,484,192,814,144/21,933,104
  6. Step 6: Final answer
    x = 102,971,480.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.