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Finding the Third Proportional to 3,378,857.63 and 6,997,247.44

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Solution

The third proportional to 3,378,857.63 and 6,997,247.44 is: 14,490,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378,857.63 : 6,997,247.44 = 6,997,247.44 : x
  2. Step 2: Convert to fraction form
    3,378,857.63/6,997,247.44 = 6,997,247.44/x
  3. Step 3: Cross multiply
    3,378,857.63x = 6,997,247.44 × 6,997,247.44
  4. Step 4: Simplify right side
    3,378,857.63x = 48,961,471,701,600.31
  5. Step 5: Solve for x
    x = 48,961,471,701,600.31/3,378,857.63
  6. Step 6: Final answer
    x = 14,490,540.04

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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.