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Finding the Third Proportional to 7,386,256 and 11,049,872

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Solution

The third proportional to 7,386,256 and 11,049,872 is: 16,530,657.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386,256 : 11,049,872 = 11,049,872 : x
  2. Step 2: Convert to fraction form
    7,386,256/11,049,872 = 11,049,872/x
  3. Step 3: Cross multiply
    7,386,256x = 11,049,872 × 11,049,872
  4. Step 4: Simplify right side
    7,386,256x = 122,099,671,216,384
  5. Step 5: Solve for x
    x = 122,099,671,216,384/7,386,256
  6. Step 6: Final answer
    x = 16,530,657.92

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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.