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Finding the Third Proportional to 13,797,438.75 and 29,024,993.25

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Solution

The third proportional to 13,797,438.75 and 29,024,993.25 is: 61,058,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797,438.75 : 29,024,993.25 = 29,024,993.25 : x
  2. Step 2: Convert to fraction form
    13,797,438.75/29,024,993.25 = 29,024,993.25/x
  3. Step 3: Cross multiply
    13,797,438.75x = 29,024,993.25 × 29,024,993.25
  4. Step 4: Simplify right side
    13,797,438.75x = 842,450,233,162,545.50
  5. Step 5: Solve for x
    x = 842,450,233,162,545.50/13,797,438.75
  6. Step 6: Final answer
    x = 61,058,450.66

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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.