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Finding the Third Proportional to 13,016,026.50 and 27,040,954.50

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Solution

The third proportional to 13,016,026.50 and 27,040,954.50 is: 56,177,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016,026.50 : 27,040,954.50 = 27,040,954.50 : x
  2. Step 2: Convert to fraction form
    13,016,026.50/27,040,954.50 = 27,040,954.50/x
  3. Step 3: Cross multiply
    13,016,026.50x = 27,040,954.50 × 27,040,954.50
  4. Step 4: Simplify right side
    13,016,026.50x = 731,213,220,271,070.25
  5. Step 5: Solve for x
    x = 731,213,220,271,070.25/13,016,026.50
  6. Step 6: Final answer
    x = 56,177,914.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.