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Finding the Third Proportional to 9,378,663 and 20,322,906

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Solution

The third proportional to 9,378,663 and 20,322,906 is: 44,038,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378,663 : 20,322,906 = 20,322,906 : x
  2. Step 2: Convert to fraction form
    9,378,663/20,322,906 = 20,322,906/x
  3. Step 3: Cross multiply
    9,378,663x = 20,322,906 × 20,322,906
  4. Step 4: Simplify right side
    9,378,663x = 413,020,508,284,836
  5. Step 5: Solve for x
    x = 413,020,508,284,836/9,378,663
  6. Step 6: Final answer
    x = 44,038,314.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.