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Finding the Third Proportional to 3,037,336 and 6,416,188

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Solution

The third proportional to 3,037,336 and 6,416,188 is: 13,553,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037,336 : 6,416,188 = 6,416,188 : x
  2. Step 2: Convert to fraction form
    3,037,336/6,416,188 = 6,416,188/x
  3. Step 3: Cross multiply
    3,037,336x = 6,416,188 × 6,416,188
  4. Step 4: Simplify right side
    3,037,336x = 41,167,468,451,344
  5. Step 5: Solve for x
    x = 41,167,468,451,344/3,037,336
  6. Step 6: Final answer
    x = 13,553,807.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.