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Finding the Third Proportional to 12,203,463 and 18,462,658.50

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Solution

The third proportional to 12,203,463 and 18,462,658.50 is: 27,932,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203,463 : 18,462,658.50 = 18,462,658.50 : x
  2. Step 2: Convert to fraction form
    12,203,463/18,462,658.50 = 18,462,658.50/x
  3. Step 3: Cross multiply
    12,203,463x = 18,462,658.50 × 18,462,658.50
  4. Step 4: Simplify right side
    12,203,463x = 340,869,758,887,622.25
  5. Step 5: Solve for x
    x = 340,869,758,887,622.25/12,203,463
  6. Step 6: Final answer
    x = 27,932,215.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.