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Finding the Third Proportional to 23,138,664 and 33,856,245

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Solution

The third proportional to 23,138,664 and 33,856,245 is: 49,538,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138,664 : 33,856,245 = 33,856,245 : x
  2. Step 2: Convert to fraction form
    23,138,664/33,856,245 = 33,856,245/x
  3. Step 3: Cross multiply
    23,138,664x = 33,856,245 × 33,856,245
  4. Step 4: Simplify right side
    23,138,664x = 1,146,245,325,500,025
  5. Step 5: Solve for x
    x = 1,146,245,325,500,025/23,138,664
  6. Step 6: Final answer
    x = 49,538,094.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.