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Finding the Third Proportional to 3,250,398 and 7,000,296

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Solution

The third proportional to 3,250,398 and 7,000,296 is: 15,076,351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250,398 : 7,000,296 = 7,000,296 : x
  2. Step 2: Convert to fraction form
    3,250,398/7,000,296 = 7,000,296/x
  3. Step 3: Cross multiply
    3,250,398x = 7,000,296 × 7,000,296
  4. Step 4: Simplify right side
    3,250,398x = 49,004,144,087,616
  5. Step 5: Solve for x
    x = 49,004,144,087,616/3,250,398
  6. Step 6: Final answer
    x = 15,076,351.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.