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Finding the Third Proportional to 2,858,287.50 and 6,131,011.50

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Solution

The third proportional to 2,858,287.50 and 6,131,011.50 is: 13,150,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858,287.50 : 6,131,011.50 = 6,131,011.50 : x
  2. Step 2: Convert to fraction form
    2,858,287.50/6,131,011.50 = 6,131,011.50/x
  3. Step 3: Cross multiply
    2,858,287.50x = 6,131,011.50 × 6,131,011.50
  4. Step 4: Simplify right side
    2,858,287.50x = 37,589,302,013,132.25
  5. Step 5: Solve for x
    x = 37,589,302,013,132.25/2,858,287.50
  6. Step 6: Final answer
    x = 13,150,987.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.