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Finding the Third Proportional to 23,588,025 and 50,454,992

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Solution

The third proportional to 23,588,025 and 50,454,992 is: 107,923,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,588,025 : 50,454,992 = 50,454,992 : x
  2. Step 2: Convert to fraction form
    23,588,025/50,454,992 = 50,454,992/x
  3. Step 3: Cross multiply
    23,588,025x = 50,454,992 × 50,454,992
  4. Step 4: Simplify right side
    23,588,025x = 2,545,706,217,720,064
  5. Step 5: Solve for x
    x = 2,545,706,217,720,064/23,588,025
  6. Step 6: Final answer
    x = 107,923,669.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.