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Finding the Third Proportional to 8,684,934 and 18,524,064

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Solution

The third proportional to 8,684,934 and 18,524,064 is: 39,509,908.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684,934 : 18,524,064 = 18,524,064 : x
  2. Step 2: Convert to fraction form
    8,684,934/18,524,064 = 18,524,064/x
  3. Step 3: Cross multiply
    8,684,934x = 18,524,064 × 18,524,064
  4. Step 4: Simplify right side
    8,684,934x = 343,140,947,076,096
  5. Step 5: Solve for x
    x = 343,140,947,076,096/8,684,934
  6. Step 6: Final answer
    x = 39,509,908.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.