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Finding the Third Proportional to 9,982,032 and 14,906,520

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Solution

The third proportional to 9,982,032 and 14,906,520 is: 22,260,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,032 : 14,906,520 = 14,906,520 : x
  2. Step 2: Convert to fraction form
    9,982,032/14,906,520 = 14,906,520/x
  3. Step 3: Cross multiply
    9,982,032x = 14,906,520 × 14,906,520
  4. Step 4: Simplify right side
    9,982,032x = 222,204,338,510,400
  5. Step 5: Solve for x
    x = 222,204,338,510,400/9,982,032
  6. Step 6: Final answer
    x = 22,260,431.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.