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Finding the Third Proportional to 3,541,942,884 and 7,751,113,224.38

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Solution

The third proportional to 3,541,942,884 and 7,751,113,224.38 is: 16,962,372,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541,942,884 : 7,751,113,224.38 = 7,751,113,224.38 : x
  2. Step 2: Convert to fraction form
    3,541,942,884/7,751,113,224.38 = 7,751,113,224.38/x
  3. Step 3: Cross multiply
    3,541,942,884x = 7,751,113,224.38 × 7,751,113,224.38
  4. Step 4: Simplify right side
    3,541,942,884x = 60,079,756,217,081,012,224
  5. Step 5: Solve for x
    x = 60,079,756,217,081,012,224/3,541,942,884
  6. Step 6: Final answer
    x = 16,962,372,964.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.