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Finding the Third Proportional to 5,109,816 and 11,126,832

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Solution

The third proportional to 5,109,816 and 11,126,832 is: 24,229,128.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109,816 : 11,126,832 = 11,126,832 : x
  2. Step 2: Convert to fraction form
    5,109,816/11,126,832 = 11,126,832/x
  3. Step 3: Cross multiply
    5,109,816x = 11,126,832 × 11,126,832
  4. Step 4: Simplify right side
    5,109,816x = 123,806,390,356,224
  5. Step 5: Solve for x
    x = 123,806,390,356,224/5,109,816
  6. Step 6: Final answer
    x = 24,229,128.87

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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.