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Finding the Third Proportional to 10,372,814 and 15,222,913

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Solution

The third proportional to 10,372,814 and 15,222,913 is: 22,340,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372,814 : 15,222,913 = 15,222,913 : x
  2. Step 2: Convert to fraction form
    10,372,814/15,222,913 = 15,222,913/x
  3. Step 3: Cross multiply
    10,372,814x = 15,222,913 × 15,222,913
  4. Step 4: Simplify right side
    10,372,814x = 231,737,080,205,569
  5. Step 5: Solve for x
    x = 231,737,080,205,569/10,372,814
  6. Step 6: Final answer
    x = 22,340,811.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.