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Finding the Third Proportional to 17,274,589,497,940 and 35,978,986,607,624

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Solution

The third proportional to 17,274,589,497,940 and 35,978,986,607,624 is: 74,935,932,773,740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,274,589,497,940 : 35,978,986,607,624 = 35,978,986,607,624 : x
  2. Step 2: Convert to fraction form
    17,274,589,497,940/35,978,986,607,624 = 35,978,986,607,624/x
  3. Step 3: Cross multiply
    17,274,589,497,940x = 35,978,986,607,624 × 35,978,986,607,624
  4. Step 4: Simplify right side
    17,274,589,497,940x = 1,294,487,477,311,587,244,924,993,536
  5. Step 5: Solve for x
    x = 1,294,487,477,311,587,244,924,993,536/17,274,589,497,940
  6. Step 6: Final answer
    x = 74,935,932,773,740.02

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