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Finding the Third Proportional to 4,027,536 and 6,099,799.50

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Solution

The third proportional to 4,027,536 and 6,099,799.50 is: 9,238,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,027,536 : 6,099,799.50 = 6,099,799.50 : x
  2. Step 2: Convert to fraction form
    4,027,536/6,099,799.50 = 6,099,799.50/x
  3. Step 3: Cross multiply
    4,027,536x = 6,099,799.50 × 6,099,799.50
  4. Step 4: Simplify right side
    4,027,536x = 37,207,553,940,200.25
  5. Step 5: Solve for x
    x = 37,207,553,940,200.25/4,027,536
  6. Step 6: Final answer
    x = 9,238,292.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.