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Finding the Third Proportional to 13,561,097.06 and 20,467,756.13

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Solution

The third proportional to 13,561,097.06 and 20,467,756.13 is: 30,891,972.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561,097.06 : 20,467,756.13 = 20,467,756.13 : x
  2. Step 2: Convert to fraction form
    13,561,097.06/20,467,756.13 = 20,467,756.13/x
  3. Step 3: Cross multiply
    13,561,097.06x = 20,467,756.13 × 20,467,756.13
  4. Step 4: Simplify right side
    13,561,097.06x = 418,929,040,792,475
  5. Step 5: Solve for x
    x = 418,929,040,792,475/13,561,097.06
  6. Step 6: Final answer
    x = 30,891,972.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.