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Finding the Third Proportional to 3,473,844 and 7,541,856

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Solution

The third proportional to 3,473,844 and 7,541,856 is: 16,373,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473,844 : 7,541,856 = 7,541,856 : x
  2. Step 2: Convert to fraction form
    3,473,844/7,541,856 = 7,541,856/x
  3. Step 3: Cross multiply
    3,473,844x = 7,541,856 × 7,541,856
  4. Step 4: Simplify right side
    3,473,844x = 56,879,591,924,736
  5. Step 5: Solve for x
    x = 56,879,591,924,736/3,473,844
  6. Step 6: Final answer
    x = 16,373,674.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.