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Finding the Third Proportional to 13,830,144 and 20,296,812

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Solution

The third proportional to 13,830,144 and 20,296,812 is: 29,787,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830,144 : 20,296,812 = 20,296,812 : x
  2. Step 2: Convert to fraction form
    13,830,144/20,296,812 = 20,296,812/x
  3. Step 3: Cross multiply
    13,830,144x = 20,296,812 × 20,296,812
  4. Step 4: Simplify right side
    13,830,144x = 411,960,577,363,344
  5. Step 5: Solve for x
    x = 411,960,577,363,344/13,830,144
  6. Step 6: Final answer
    x = 29,787,150.25

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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.