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Finding the Third Proportional to 4,164,231.38 and 5,673,049.31

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Solution

The third proportional to 4,164,231.38 and 5,673,049.31 is: 7,728,554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164,231.38 : 5,673,049.31 = 5,673,049.31 : x
  2. Step 2: Convert to fraction form
    4,164,231.38/5,673,049.31 = 5,673,049.31/x
  3. Step 3: Cross multiply
    4,164,231.38x = 5,673,049.31 × 5,673,049.31
  4. Step 4: Simplify right side
    4,164,231.38x = 32,183,488,502,056.72
  5. Step 5: Solve for x
    x = 32,183,488,502,056.72/4,164,231.38
  6. Step 6: Final answer
    x = 7,728,554.35

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.