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Finding the Third Proportional to 9,474,827.24 and 19,397,827.16

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Solution

The third proportional to 9,474,827.24 and 19,397,827.16 is: 39,713,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474,827.24 : 19,397,827.16 = 19,397,827.16 : x
  2. Step 2: Convert to fraction form
    9,474,827.24/19,397,827.16 = 19,397,827.16/x
  3. Step 3: Cross multiply
    9,474,827.24x = 19,397,827.16 × 19,397,827.16
  4. Step 4: Simplify right side
    9,474,827.24x = 376,275,698,535,324.56
  5. Step 5: Solve for x
    x = 376,275,698,535,324.56/9,474,827.24
  6. Step 6: Final answer
    x = 39,713,198.89

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.