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Finding the Third Proportional to 13,843,889,257,880 and 20,351,131,340,699

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Solution

The third proportional to 13,843,889,257,880 and 20,351,131,340,699 is: 29,917,065,871,545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843,889,257,880 : 20,351,131,340,699 = 20,351,131,340,699 : x
  2. Step 2: Convert to fraction form
    13,843,889,257,880/20,351,131,340,699 = 20,351,131,340,699/x
  3. Step 3: Cross multiply
    13,843,889,257,880x = 20,351,131,340,699 × 20,351,131,340,699
  4. Step 4: Simplify right side
    13,843,889,257,880x = 414,168,546,846,381,101,000,163,328
  5. Step 5: Solve for x
    x = 414,168,546,846,381,101,000,163,328/13,843,889,257,880
  6. Step 6: Final answer
    x = 29,917,065,871,545.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.