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Finding the Third Proportional to 11,231,314 and 16,049,809

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Solution

The third proportional to 11,231,314 and 16,049,809 is: 22,935,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231,314 : 16,049,809 = 16,049,809 : x
  2. Step 2: Convert to fraction form
    11,231,314/16,049,809 = 16,049,809/x
  3. Step 3: Cross multiply
    11,231,314x = 16,049,809 × 16,049,809
  4. Step 4: Simplify right side
    11,231,314x = 257,596,368,936,481
  5. Step 5: Solve for x
    x = 257,596,368,936,481/11,231,314
  6. Step 6: Final answer
    x = 22,935,550.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.