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Finding the Third Proportional to 10,372,203,329 and 22,317,542,823

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Solution

The third proportional to 10,372,203,329 and 22,317,542,823 is: 48,019,953,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372,203,329 : 22,317,542,823 = 22,317,542,823 : x
  2. Step 2: Convert to fraction form
    10,372,203,329/22,317,542,823 = 22,317,542,823/x
  3. Step 3: Cross multiply
    10,372,203,329x = 22,317,542,823 × 22,317,542,823
  4. Step 4: Simplify right side
    10,372,203,329x = 498,072,717,656,438,800,384
  5. Step 5: Solve for x
    x = 498,072,717,656,438,800,384/10,372,203,329
  6. Step 6: Final answer
    x = 48,019,953,124.51

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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.