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Finding the Third Proportional to 40,976,215,230 and 91,374,190,482

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Solution

The third proportional to 40,976,215,230 and 91,374,190,482 is: 203,758,269,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,976,215,230 : 91,374,190,482 = 91,374,190,482 : x
  2. Step 2: Convert to fraction form
    40,976,215,230/91,374,190,482 = 91,374,190,482/x
  3. Step 3: Cross multiply
    40,976,215,230x = 91,374,190,482 × 91,374,190,482
  4. Step 4: Simplify right side
    40,976,215,230x = 8,349,242,686,240,819,511,296
  5. Step 5: Solve for x
    x = 8,349,242,686,240,819,511,296/40,976,215,230
  6. Step 6: Final answer
    x = 203,758,269,019.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.