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Finding the Third Proportional to 4,677,907 and 6,997,816

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Solution

The third proportional to 4,677,907 and 6,997,816 is: 10,468,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677,907 : 6,997,816 = 6,997,816 : x
  2. Step 2: Convert to fraction form
    4,677,907/6,997,816 = 6,997,816/x
  3. Step 3: Cross multiply
    4,677,907x = 6,997,816 × 6,997,816
  4. Step 4: Simplify right side
    4,677,907x = 48,969,428,769,856
  5. Step 5: Solve for x
    x = 48,969,428,769,856/4,677,907
  6. Step 6: Final answer
    x = 10,468,234.78

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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.