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Finding the Third Proportional to 5,101,774 and 11,198,754

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Solution

The third proportional to 5,101,774 and 11,198,754 is: 24,582,055.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101,774 : 11,198,754 = 11,198,754 : x
  2. Step 2: Convert to fraction form
    5,101,774/11,198,754 = 11,198,754/x
  3. Step 3: Cross multiply
    5,101,774x = 11,198,754 × 11,198,754
  4. Step 4: Simplify right side
    5,101,774x = 125,412,091,152,516
  5. Step 5: Solve for x
    x = 125,412,091,152,516/5,101,774
  6. Step 6: Final answer
    x = 24,582,055.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.