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Finding the Third Proportional to 10,372,203,327 and 22,317,542,819

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Solution

The third proportional to 10,372,203,327 and 22,317,542,819 is: 48,019,953,116.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372,203,327 : 22,317,542,819 = 22,317,542,819 : x
  2. Step 2: Convert to fraction form
    10,372,203,327/22,317,542,819 = 22,317,542,819/x
  3. Step 3: Cross multiply
    10,372,203,327x = 22,317,542,819 × 22,317,542,819
  4. Step 4: Simplify right side
    10,372,203,327x = 498,072,717,477,898,485,760
  5. Step 5: Solve for x
    x = 498,072,717,477,898,485,760/10,372,203,327
  6. Step 6: Final answer
    x = 48,019,953,116.55

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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.