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Finding the Third Proportional to 43,407,064,842 and 90,381,304,872

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Solution

The third proportional to 43,407,064,842 and 90,381,304,872 is: 188,190,109,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,407,064,842 : 90,381,304,872 = 90,381,304,872 : x
  2. Step 2: Convert to fraction form
    43,407,064,842/90,381,304,872 = 90,381,304,872/x
  3. Step 3: Cross multiply
    43,407,064,842x = 90,381,304,872 × 90,381,304,872
  4. Step 4: Simplify right side
    43,407,064,842x = 8,168,780,270,365,410,590,720
  5. Step 5: Solve for x
    x = 8,168,780,270,365,410,590,720/43,407,064,842
  6. Step 6: Final answer
    x = 188,190,109,146.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.