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Finding the Third Proportional to 11,944,534 and 18,137,985

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Solution

The third proportional to 11,944,534 and 18,137,985 is: 27,542,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944,534 : 18,137,985 = 18,137,985 : x
  2. Step 2: Convert to fraction form
    11,944,534/18,137,985 = 18,137,985/x
  3. Step 3: Cross multiply
    11,944,534x = 18,137,985 × 18,137,985
  4. Step 4: Simplify right side
    11,944,534x = 328,986,499,860,225
  5. Step 5: Solve for x
    x = 328,986,499,860,225/11,944,534
  6. Step 6: Final answer
    x = 27,542,849.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.