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Finding the Third Proportional to 5,867,469 and 9,336,296

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Solution

The third proportional to 5,867,469 and 9,336,296 is: 14,855,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,867,469 : 9,336,296 = 9,336,296 : x
  2. Step 2: Convert to fraction form
    5,867,469/9,336,296 = 9,336,296/x
  3. Step 3: Cross multiply
    5,867,469x = 9,336,296 × 9,336,296
  4. Step 4: Simplify right side
    5,867,469x = 87,166,422,999,616
  5. Step 5: Solve for x
    x = 87,166,422,999,616/5,867,469
  6. Step 6: Final answer
    x = 14,855,881.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.