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Finding the Third Proportional to 5,394,798 and 11,557,168

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Solution

The third proportional to 5,394,798 and 11,557,168 is: 24,758,690.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394,798 : 11,557,168 = 11,557,168 : x
  2. Step 2: Convert to fraction form
    5,394,798/11,557,168 = 11,557,168/x
  3. Step 3: Cross multiply
    5,394,798x = 11,557,168 × 11,557,168
  4. Step 4: Simplify right side
    5,394,798x = 133,568,132,180,224
  5. Step 5: Solve for x
    x = 133,568,132,180,224/5,394,798
  6. Step 6: Final answer
    x = 24,758,690.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.