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Finding the Third Proportional to 11,567,734 and 25,126,771

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Solution

The third proportional to 11,567,734 and 25,126,771 is: 54,578,936.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567,734 : 25,126,771 = 25,126,771 : x
  2. Step 2: Convert to fraction form
    11,567,734/25,126,771 = 25,126,771/x
  3. Step 3: Cross multiply
    11,567,734x = 25,126,771 × 25,126,771
  4. Step 4: Simplify right side
    11,567,734x = 631,354,620,886,441
  5. Step 5: Solve for x
    x = 631,354,620,886,441/11,567,734
  6. Step 6: Final answer
    x = 54,578,936.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.