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Finding the Third Proportional to 5,163,509 and 11,238,997

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Solution

The third proportional to 5,163,509 and 11,238,997 is: 24,463,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163,509 : 11,238,997 = 11,238,997 : x
  2. Step 2: Convert to fraction form
    5,163,509/11,238,997 = 11,238,997/x
  3. Step 3: Cross multiply
    5,163,509x = 11,238,997 × 11,238,997
  4. Step 4: Simplify right side
    5,163,509x = 126,315,053,566,009
  5. Step 5: Solve for x
    x = 126,315,053,566,009/5,163,509
  6. Step 6: Final answer
    x = 24,463,025.74

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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.