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Finding the Third Proportional to 9,447,568,743 and 20,297,187,099

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Solution

The third proportional to 9,447,568,743 and 20,297,187,099 is: 43,606,542,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447,568,743 : 20,297,187,099 = 20,297,187,099 : x
  2. Step 2: Convert to fraction form
    9,447,568,743/20,297,187,099 = 20,297,187,099/x
  3. Step 3: Cross multiply
    9,447,568,743x = 20,297,187,099 × 20,297,187,099
  4. Step 4: Simplify right side
    9,447,568,743x = 411,975,804,131,812,048,896
  5. Step 5: Solve for x
    x = 411,975,804,131,812,048,896/9,447,568,743
  6. Step 6: Final answer
    x = 43,606,542,099.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.