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Finding the Third Proportional to 9,378,664 and 20,322,908

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Solution

The third proportional to 9,378,664 and 20,322,908 is: 44,038,318.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378,664 : 20,322,908 = 20,322,908 : x
  2. Step 2: Convert to fraction form
    9,378,664/20,322,908 = 20,322,908/x
  3. Step 3: Cross multiply
    9,378,664x = 20,322,908 × 20,322,908
  4. Step 4: Simplify right side
    9,378,664x = 413,020,589,576,464
  5. Step 5: Solve for x
    x = 413,020,589,576,464/9,378,664
  6. Step 6: Final answer
    x = 44,038,318.21

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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.