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Finding the Third Proportional to 10,449,891 and 16,140,772

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Solution

The third proportional to 10,449,891 and 16,140,772 is: 24,930,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449,891 : 16,140,772 = 16,140,772 : x
  2. Step 2: Convert to fraction form
    10,449,891/16,140,772 = 16,140,772/x
  3. Step 3: Cross multiply
    10,449,891x = 16,140,772 × 16,140,772
  4. Step 4: Simplify right side
    10,449,891x = 260,524,520,755,984
  5. Step 5: Solve for x
    x = 260,524,520,755,984/10,449,891
  6. Step 6: Final answer
    x = 24,930,836.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.