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Finding the Third Proportional to 12,118,707 and 18,135,122.63

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Solution

The third proportional to 12,118,707 and 18,135,122.63 is: 27,138,429.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118,707 : 18,135,122.63 = 18,135,122.63 : x
  2. Step 2: Convert to fraction form
    12,118,707/18,135,122.63 = 18,135,122.63/x
  3. Step 3: Cross multiply
    12,118,707x = 18,135,122.63 × 18,135,122.63
  4. Step 4: Simplify right side
    12,118,707x = 328,882,672,623,786.88
  5. Step 5: Solve for x
    x = 328,882,672,623,786.88/12,118,707
  6. Step 6: Final answer
    x = 27,138,429.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.