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Finding the Third Proportional to 13,830,418 and 20,297,219

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Solution

The third proportional to 13,830,418 and 20,297,219 is: 29,787,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830,418 : 20,297,219 = 20,297,219 : x
  2. Step 2: Convert to fraction form
    13,830,418/20,297,219 = 20,297,219/x
  3. Step 3: Cross multiply
    13,830,418x = 20,297,219 × 20,297,219
  4. Step 4: Simplify right side
    13,830,418x = 411,977,099,133,961
  5. Step 5: Solve for x
    x = 411,977,099,133,961/13,830,418
  6. Step 6: Final answer
    x = 29,787,754.73

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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.