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Finding the Third Proportional to 2,367,886.50 and 5,208,165

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Solution

The third proportional to 2,367,886.50 and 5,208,165 is: 11,455,355.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,886.50 : 5,208,165 = 5,208,165 : x
  2. Step 2: Convert to fraction form
    2,367,886.50/5,208,165 = 5,208,165/x
  3. Step 3: Cross multiply
    2,367,886.50x = 5,208,165 × 5,208,165
  4. Step 4: Simplify right side
    2,367,886.50x = 27,124,982,667,225
  5. Step 5: Solve for x
    x = 27,124,982,667,225/2,367,886.50
  6. Step 6: Final answer
    x = 11,455,355.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.