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Finding the Third Proportional to 12,122,127 and 18,165,413.63

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Solution

The third proportional to 12,122,127 and 18,165,413.63 is: 27,221,481.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122,127 : 18,165,413.63 = 18,165,413.63 : x
  2. Step 2: Convert to fraction form
    12,122,127/18,165,413.63 = 18,165,413.63/x
  3. Step 3: Cross multiply
    12,122,127x = 18,165,413.63 × 18,165,413.63
  4. Step 4: Simplify right side
    12,122,127x = 329,982,252,167,335.62
  5. Step 5: Solve for x
    x = 329,982,252,167,335.62/12,122,127
  6. Step 6: Final answer
    x = 27,221,481.19

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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.