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Finding the Third Proportional to 195,331,791,790 and 406,715,871,926

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Solution

The third proportional to 195,331,791,790 and 406,715,871,926 is: 846,855,491,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,331,791,790 : 406,715,871,926 = 406,715,871,926 : x
  2. Step 2: Convert to fraction form
    195,331,791,790/406,715,871,926 = 406,715,871,926/x
  3. Step 3: Cross multiply
    195,331,791,790x = 406,715,871,926 × 406,715,871,926
  4. Step 4: Simplify right side
    195,331,791,790x = 165,417,800,476,526,431,436,800
  5. Step 5: Solve for x
    x = 165,417,800,476,526,431,436,800/195,331,791,790
  6. Step 6: Final answer
    x = 846,855,491,165.34

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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.