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Finding the Third Proportional to 9,431,966 and 20,208,529

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Solution

The third proportional to 9,431,966 and 20,208,529 is: 43,297,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431,966 : 20,208,529 = 20,208,529 : x
  2. Step 2: Convert to fraction form
    9,431,966/20,208,529 = 20,208,529/x
  3. Step 3: Cross multiply
    9,431,966x = 20,208,529 × 20,208,529
  4. Step 4: Simplify right side
    9,431,966x = 408,384,644,343,841
  5. Step 5: Solve for x
    x = 408,384,644,343,841/9,431,966
  6. Step 6: Final answer
    x = 43,297,934.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.