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Finding the Third Proportional to 8,076,002 and 17,287,003

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Solution

The third proportional to 8,076,002 and 17,287,003 is: 37,003,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076,002 : 17,287,003 = 17,287,003 : x
  2. Step 2: Convert to fraction form
    8,076,002/17,287,003 = 17,287,003/x
  3. Step 3: Cross multiply
    8,076,002x = 17,287,003 × 17,287,003
  4. Step 4: Simplify right side
    8,076,002x = 298,840,472,722,009
  5. Step 5: Solve for x
    x = 298,840,472,722,009/8,076,002
  6. Step 6: Final answer
    x = 37,003,516.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.