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Finding the Third Proportional to 3,419,100 and 7,295,829.75

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Solution

The third proportional to 3,419,100 and 7,295,829.75 is: 15,568,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419,100 : 7,295,829.75 = 7,295,829.75 : x
  2. Step 2: Convert to fraction form
    3,419,100/7,295,829.75 = 7,295,829.75/x
  3. Step 3: Cross multiply
    3,419,100x = 7,295,829.75 × 7,295,829.75
  4. Step 4: Simplify right side
    3,419,100x = 53,229,131,740,985.06
  5. Step 5: Solve for x
    x = 53,229,131,740,985.06/3,419,100
  6. Step 6: Final answer
    x = 15,568,170.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.