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Finding the Third Proportional to 3,378,859 and 6,997,249.50

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Solution

The third proportional to 3,378,859 and 6,997,249.50 is: 14,490,542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378,859 : 6,997,249.50 = 6,997,249.50 : x
  2. Step 2: Convert to fraction form
    3,378,859/6,997,249.50 = 6,997,249.50/x
  3. Step 3: Cross multiply
    3,378,859x = 6,997,249.50 × 6,997,249.50
  4. Step 4: Simplify right side
    3,378,859x = 48,961,500,565,250.25
  5. Step 5: Solve for x
    x = 48,961,500,565,250.25/3,378,859
  6. Step 6: Final answer
    x = 14,490,542.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.