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Finding the Third Proportional to 36,392,672 and 77,824,192

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Solution

The third proportional to 36,392,672 and 77,824,192 is: 166,423,747.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,392,672 : 77,824,192 = 77,824,192 : x
  2. Step 2: Convert to fraction form
    36,392,672/77,824,192 = 77,824,192/x
  3. Step 3: Cross multiply
    36,392,672x = 77,824,192 × 77,824,192
  4. Step 4: Simplify right side
    36,392,672x = 6,056,604,860,452,864
  5. Step 5: Solve for x
    x = 6,056,604,860,452,864/36,392,672
  6. Step 6: Final answer
    x = 166,423,747.63

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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.