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Finding the Third Proportional to 37,288,234,512 and 79,895,122,992

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Solution

The third proportional to 37,288,234,512 and 79,895,122,992 is: 171,186,186,781.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,288,234,512 : 79,895,122,992 = 79,895,122,992 : x
  2. Step 2: Convert to fraction form
    37,288,234,512/79,895,122,992 = 79,895,122,992/x
  3. Step 3: Cross multiply
    37,288,234,512x = 79,895,122,992 × 79,895,122,992
  4. Step 4: Simplify right side
    37,288,234,512x = 6,383,230,677,906,807,062,528
  5. Step 5: Solve for x
    x = 6,383,230,677,906,807,062,528/37,288,234,512
  6. Step 6: Final answer
    x = 171,186,186,781.05

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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.