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Finding the Third Proportional to 5,773,446.38 and 8,071,617.75

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Solution

The third proportional to 5,773,446.38 and 8,071,617.75 is: 11,284,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773,446.38 : 8,071,617.75 = 8,071,617.75 : x
  2. Step 2: Convert to fraction form
    5,773,446.38/8,071,617.75 = 8,071,617.75/x
  3. Step 3: Cross multiply
    5,773,446.38x = 8,071,617.75 × 8,071,617.75
  4. Step 4: Simplify right side
    5,773,446.38x = 65,151,013,102,115.06
  5. Step 5: Solve for x
    x = 65,151,013,102,115.06/5,773,446.38
  6. Step 6: Final answer
    x = 11,284,596.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.