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Finding the Third Proportional to 33,821,108 and 72,425,178

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Solution

The third proportional to 33,821,108 and 72,425,178 is: 155,092,683.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,821,108 : 72,425,178 = 72,425,178 : x
  2. Step 2: Convert to fraction form
    33,821,108/72,425,178 = 72,425,178/x
  3. Step 3: Cross multiply
    33,821,108x = 72,425,178 × 72,425,178
  4. Step 4: Simplify right side
    33,821,108x = 5,245,406,408,331,684
  5. Step 5: Solve for x
    x = 5,245,406,408,331,684/33,821,108
  6. Step 6: Final answer
    x = 155,092,683.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.