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Finding the Third Proportional to 13,797,728 and 29,025,424

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Solution

The third proportional to 13,797,728 and 29,025,424 is: 61,058,982.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797,728 : 29,025,424 = 29,025,424 : x
  2. Step 2: Convert to fraction form
    13,797,728/29,025,424 = 29,025,424/x
  3. Step 3: Cross multiply
    13,797,728x = 29,025,424 × 29,025,424
  4. Step 4: Simplify right side
    13,797,728x = 842,475,238,379,776
  5. Step 5: Solve for x
    x = 842,475,238,379,776/13,797,728
  6. Step 6: Final answer
    x = 61,058,982.93

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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.