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Finding the Third Proportional to 2,471,866.50 and 5,415,021

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Solution

The third proportional to 2,471,866.50 and 5,415,021 is: 11,862,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,866.50 : 5,415,021 = 5,415,021 : x
  2. Step 2: Convert to fraction form
    2,471,866.50/5,415,021 = 5,415,021/x
  3. Step 3: Cross multiply
    2,471,866.50x = 5,415,021 × 5,415,021
  4. Step 4: Simplify right side
    2,471,866.50x = 29,322,452,430,441
  5. Step 5: Solve for x
    x = 29,322,452,430,441/2,471,866.50
  6. Step 6: Final answer
    x = 11,862,474.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.