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Finding the Third Proportional to 9,231,725.25 and 21,369,774.38

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Solution

The third proportional to 9,231,725.25 and 21,369,774.38 is: 49,467,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231,725.25 : 21,369,774.38 = 21,369,774.38 : x
  2. Step 2: Convert to fraction form
    9,231,725.25/21,369,774.38 = 21,369,774.38/x
  3. Step 3: Cross multiply
    9,231,725.25x = 21,369,774.38 × 21,369,774.38
  4. Step 4: Simplify right side
    9,231,725.25x = 456,667,256,838,406.62
  5. Step 5: Solve for x
    x = 456,667,256,838,406.62/9,231,725.25
  6. Step 6: Final answer
    x = 49,467,162.91

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.