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Finding the Third Proportional to 2,434,171.50 and 5,206,037.06

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Solution

The third proportional to 2,434,171.50 and 5,206,037.06 is: 11,134,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434,171.50 : 5,206,037.06 = 5,206,037.06 : x
  2. Step 2: Convert to fraction form
    2,434,171.50/5,206,037.06 = 5,206,037.06/x
  3. Step 3: Cross multiply
    2,434,171.50x = 5,206,037.06 × 5,206,037.06
  4. Step 4: Simplify right side
    2,434,171.50x = 27,102,821,896,123.63
  5. Step 5: Solve for x
    x = 27,102,821,896,123.63/2,434,171.50
  6. Step 6: Final answer
    x = 11,134,310.75

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