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Finding the Third Proportional to 10,836,906 and 14,860,449

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Solution

The third proportional to 10,836,906 and 14,860,449 is: 20,377,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,836,906 : 14,860,449 = 14,860,449 : x
  2. Step 2: Convert to fraction form
    10,836,906/14,860,449 = 14,860,449/x
  3. Step 3: Cross multiply
    10,836,906x = 14,860,449 × 14,860,449
  4. Step 4: Simplify right side
    10,836,906x = 220,832,944,481,601
  5. Step 5: Solve for x
    x = 220,832,944,481,601/10,836,906
  6. Step 6: Final answer
    x = 20,377,859.19

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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.