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Finding the Third Proportional to 4,125,891 and 6,196,630.50

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Solution

The third proportional to 4,125,891 and 6,196,630.50 is: 9,306,651.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125,891 : 6,196,630.50 = 6,196,630.50 : x
  2. Step 2: Convert to fraction form
    4,125,891/6,196,630.50 = 6,196,630.50/x
  3. Step 3: Cross multiply
    4,125,891x = 6,196,630.50 × 6,196,630.50
  4. Step 4: Simplify right side
    4,125,891x = 38,398,229,553,530.25
  5. Step 5: Solve for x
    x = 38,398,229,553,530.25/4,125,891
  6. Step 6: Final answer
    x = 9,306,651.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.