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Finding the Third Proportional to 9,247,734 and 19,858,993

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Solution

The third proportional to 9,247,734 and 19,858,993 is: 42,646,079.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247,734 : 19,858,993 = 19,858,993 : x
  2. Step 2: Convert to fraction form
    9,247,734/19,858,993 = 19,858,993/x
  3. Step 3: Cross multiply
    9,247,734x = 19,858,993 × 19,858,993
  4. Step 4: Simplify right side
    9,247,734x = 394,379,602,974,049
  5. Step 5: Solve for x
    x = 394,379,602,974,049/9,247,734
  6. Step 6: Final answer
    x = 42,646,079.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.