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Finding the Third Proportional to 11,129,342 and 23,454,172

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Solution

The third proportional to 11,129,342 and 23,454,172 is: 49,427,736.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129,342 : 23,454,172 = 23,454,172 : x
  2. Step 2: Convert to fraction form
    11,129,342/23,454,172 = 23,454,172/x
  3. Step 3: Cross multiply
    11,129,342x = 23,454,172 × 23,454,172
  4. Step 4: Simplify right side
    11,129,342x = 550,098,184,205,584
  5. Step 5: Solve for x
    x = 550,098,184,205,584/11,129,342
  6. Step 6: Final answer
    x = 49,427,736.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.