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Finding the Third Proportional to 8,584,734 and 18,192,984

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Solution

The third proportional to 8,584,734 and 18,192,984 is: 38,555,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584,734 : 18,192,984 = 18,192,984 : x
  2. Step 2: Convert to fraction form
    8,584,734/18,192,984 = 18,192,984/x
  3. Step 3: Cross multiply
    8,584,734x = 18,192,984 × 18,192,984
  4. Step 4: Simplify right side
    8,584,734x = 330,984,666,824,256
  5. Step 5: Solve for x
    x = 330,984,666,824,256/8,584,734
  6. Step 6: Final answer
    x = 38,555,028.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.