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Finding the Third Proportional to 13,797,441 and 29,024,997

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Solution

The third proportional to 13,797,441 and 29,024,997 is: 61,058,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797,441 : 29,024,997 = 29,024,997 : x
  2. Step 2: Convert to fraction form
    13,797,441/29,024,997 = 29,024,997/x
  3. Step 3: Cross multiply
    13,797,441x = 29,024,997 × 29,024,997
  4. Step 4: Simplify right side
    13,797,441x = 842,450,450,850,009
  5. Step 5: Solve for x
    x = 842,450,450,850,009/13,797,441
  6. Step 6: Final answer
    x = 61,058,456.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.