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Finding the Third Proportional to 5,102,616 and 11,101,992

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Solution

The third proportional to 5,102,616 and 11,101,992 is: 24,155,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102,616 : 11,101,992 = 11,101,992 : x
  2. Step 2: Convert to fraction form
    5,102,616/11,101,992 = 11,101,992/x
  3. Step 3: Cross multiply
    5,102,616x = 11,101,992 × 11,101,992
  4. Step 4: Simplify right side
    5,102,616x = 123,254,226,368,064
  5. Step 5: Solve for x
    x = 123,254,226,368,064/5,102,616
  6. Step 6: Final answer
    x = 24,155,105.22

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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.