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Finding the Third Proportional to 5,271,882 and 11,510,580

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Solution

The third proportional to 5,271,882 and 11,510,580 is: 25,132,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271,882 : 11,510,580 = 11,510,580 : x
  2. Step 2: Convert to fraction form
    5,271,882/11,510,580 = 11,510,580/x
  3. Step 3: Cross multiply
    5,271,882x = 11,510,580 × 11,510,580
  4. Step 4: Simplify right side
    5,271,882x = 132,493,451,936,400
  5. Step 5: Solve for x
    x = 132,493,451,936,400/5,271,882
  6. Step 6: Final answer
    x = 25,132,097.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.