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Finding the Third Proportional to 11,691,496.97 and 18,147,281.77

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Solution

The third proportional to 11,691,496.97 and 18,147,281.77 is: 28,167,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691,496.97 : 18,147,281.77 = 18,147,281.77 : x
  2. Step 2: Convert to fraction form
    11,691,496.97/18,147,281.77 = 18,147,281.77/x
  3. Step 3: Cross multiply
    11,691,496.97x = 18,147,281.77 × 18,147,281.77
  4. Step 4: Simplify right side
    11,691,496.97x = 329,323,835,480,985.62
  5. Step 5: Solve for x
    x = 329,323,835,480,985.62/11,691,496.97
  6. Step 6: Final answer
    x = 28,167,807.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.