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Finding the Third Proportional to 23,473,982.25 and 50,178,477.38

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Solution

The third proportional to 23,473,982.25 and 50,178,477.38 is: 107,262,566.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473,982.25 : 50,178,477.38 = 50,178,477.38 : x
  2. Step 2: Convert to fraction form
    23,473,982.25/50,178,477.38 = 50,178,477.38/x
  3. Step 3: Cross multiply
    23,473,982.25x = 50,178,477.38 × 50,178,477.38
  4. Step 4: Simplify right side
    23,473,982.25x = 2,517,879,591,673,387
  5. Step 5: Solve for x
    x = 2,517,879,591,673,387/23,473,982.25
  6. Step 6: Final answer
    x = 107,262,566.91

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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.