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Finding the Third Proportional to 7,837,892 and 11,874,972

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Solution

The third proportional to 7,837,892 and 11,874,972 is: 17,991,439.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,837,892 : 11,874,972 = 11,874,972 : x
  2. Step 2: Convert to fraction form
    7,837,892/11,874,972 = 11,874,972/x
  3. Step 3: Cross multiply
    7,837,892x = 11,874,972 × 11,874,972
  4. Step 4: Simplify right side
    7,837,892x = 141,014,960,000,784
  5. Step 5: Solve for x
    x = 141,014,960,000,784/7,837,892
  6. Step 6: Final answer
    x = 17,991,439.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.