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Finding the Third Proportional to 11,493,770 and 17,288,925

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Solution

The third proportional to 11,493,770 and 17,288,925 is: 26,005,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493,770 : 17,288,925 = 17,288,925 : x
  2. Step 2: Convert to fraction form
    11,493,770/17,288,925 = 17,288,925/x
  3. Step 3: Cross multiply
    11,493,770x = 17,288,925 × 17,288,925
  4. Step 4: Simplify right side
    11,493,770x = 298,906,927,655,625
  5. Step 5: Solve for x
    x = 298,906,927,655,625/11,493,770
  6. Step 6: Final answer
    x = 26,005,995.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.