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Finding the Third Proportional to 22,318,092 and 47,314,530

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Solution

The third proportional to 22,318,092 and 47,314,530 is: 100,307,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,318,092 : 47,314,530 = 47,314,530 : x
  2. Step 2: Convert to fraction form
    22,318,092/47,314,530 = 47,314,530/x
  3. Step 3: Cross multiply
    22,318,092x = 47,314,530 × 47,314,530
  4. Step 4: Simplify right side
    22,318,092x = 2,238,664,749,120,900
  5. Step 5: Solve for x
    x = 2,238,664,749,120,900/22,318,092
  6. Step 6: Final answer
    x = 100,307,174.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.