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Finding the Third Proportional to 10,694,512.69 and 23,093,838

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Solution

The third proportional to 10,694,512.69 and 23,093,838 is: 49,869,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694,512.69 : 23,093,838 = 23,093,838 : x
  2. Step 2: Convert to fraction form
    10,694,512.69/23,093,838 = 23,093,838/x
  3. Step 3: Cross multiply
    10,694,512.69x = 23,093,838 × 23,093,838
  4. Step 4: Simplify right side
    10,694,512.69x = 533,325,353,570,244
  5. Step 5: Solve for x
    x = 533,325,353,570,244/10,694,512.69
  6. Step 6: Final answer
    x = 49,869,065.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.