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Finding the Third Proportional to 10,372,203,342 and 22,317,542,847

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Solution

The third proportional to 10,372,203,342 and 22,317,542,847 is: 48,019,953,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372,203,342 : 22,317,542,847 = 22,317,542,847 : x
  2. Step 2: Convert to fraction form
    10,372,203,342/22,317,542,847 = 22,317,542,847/x
  3. Step 3: Cross multiply
    10,372,203,342x = 22,317,542,847 × 22,317,542,847
  4. Step 4: Simplify right side
    10,372,203,342x = 498,072,718,727,680,884,736
  5. Step 5: Solve for x
    x = 498,072,718,727,680,884,736/10,372,203,342
  6. Step 6: Final answer
    x = 48,019,953,167.60

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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.