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Finding the Third Proportional to 10,836,039 and 14,858,961.75

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Solution

The third proportional to 10,836,039 and 14,858,961.75 is: 20,375,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836,039 : 14,858,961.75 = 14,858,961.75 : x
  2. Step 2: Convert to fraction form
    10,836,039/14,858,961.75 = 14,858,961.75/x
  3. Step 3: Cross multiply
    10,836,039x = 14,858,961.75 × 14,858,961.75
  4. Step 4: Simplify right side
    10,836,039x = 220,788,744,287,963.06
  5. Step 5: Solve for x
    x = 220,788,744,287,963.06/10,836,039
  6. Step 6: Final answer
    x = 20,375,410.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.