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Finding the Third Proportional to 2,980,123.50 and 6,230,067

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Solution

The third proportional to 2,980,123.50 and 6,230,067 is: 13,024,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980,123.50 : 6,230,067 = 6,230,067 : x
  2. Step 2: Convert to fraction form
    2,980,123.50/6,230,067 = 6,230,067/x
  3. Step 3: Cross multiply
    2,980,123.50x = 6,230,067 × 6,230,067
  4. Step 4: Simplify right side
    2,980,123.50x = 38,813,734,824,489
  5. Step 5: Solve for x
    x = 38,813,734,824,489/2,980,123.50
  6. Step 6: Final answer
    x = 13,024,203.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.