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Finding the Third Proportional to 5,709,242 and 13,322,014

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Solution

The third proportional to 5,709,242 and 13,322,014 is: 31,085,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,242 : 13,322,014 = 13,322,014 : x
  2. Step 2: Convert to fraction form
    5,709,242/13,322,014 = 13,322,014/x
  3. Step 3: Cross multiply
    5,709,242x = 13,322,014 × 13,322,014
  4. Step 4: Simplify right side
    5,709,242x = 177,476,057,016,196
  5. Step 5: Solve for x
    x = 177,476,057,016,196/5,709,242
  6. Step 6: Final answer
    x = 31,085,747.81

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.