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Finding the Third Proportional to 5,272,914 and 11,512,356

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Solution

The third proportional to 5,272,914 and 11,512,356 is: 25,134,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272,914 : 11,512,356 = 11,512,356 : x
  2. Step 2: Convert to fraction form
    5,272,914/11,512,356 = 11,512,356/x
  3. Step 3: Cross multiply
    5,272,914x = 11,512,356 × 11,512,356
  4. Step 4: Simplify right side
    5,272,914x = 132,534,340,670,736
  5. Step 5: Solve for x
    x = 132,534,340,670,736/5,272,914
  6. Step 6: Final answer
    x = 25,134,933.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.