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Finding the Third Proportional to 10,836,039 and 14,858,961

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Solution

The third proportional to 10,836,039 and 14,858,961 is: 20,375,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836,039 : 14,858,961 = 14,858,961 : x
  2. Step 2: Convert to fraction form
    10,836,039/14,858,961 = 14,858,961/x
  3. Step 3: Cross multiply
    10,836,039x = 14,858,961 × 14,858,961
  4. Step 4: Simplify right side
    10,836,039x = 220,788,721,999,521
  5. Step 5: Solve for x
    x = 220,788,721,999,521/10,836,039
  6. Step 6: Final answer
    x = 20,375,408.58

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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.