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Finding the Third Proportional to 4,678,049 and 6,997,660

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Solution

The third proportional to 4,678,049 and 6,997,660 is: 10,467,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678,049 : 6,997,660 = 6,997,660 : x
  2. Step 2: Convert to fraction form
    4,678,049/6,997,660 = 6,997,660/x
  3. Step 3: Cross multiply
    4,678,049x = 6,997,660 × 6,997,660
  4. Step 4: Simplify right side
    4,678,049x = 48,967,245,475,600
  5. Step 5: Solve for x
    x = 48,967,245,475,600/4,678,049
  6. Step 6: Final answer
    x = 10,467,450.31

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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.