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Finding the Third Proportional to 195,331,791,791 and 406,715,871,928

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Solution

The third proportional to 195,331,791,791 and 406,715,871,928 is: 846,855,491,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,331,791,791 : 406,715,871,928 = 406,715,871,928 : x
  2. Step 2: Convert to fraction form
    195,331,791,791/406,715,871,928 = 406,715,871,928/x
  3. Step 3: Cross multiply
    195,331,791,791x = 406,715,871,928 × 406,715,871,928
  4. Step 4: Simplify right side
    195,331,791,791x = 165,417,800,478,153,284,517,888
  5. Step 5: Solve for x
    x = 165,417,800,478,153,284,517,888/195,331,791,791
  6. Step 6: Final answer
    x = 846,855,491,169.33

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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.