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Finding the Third Proportional to 8,589,753 and 18,409,100

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Solution

The third proportional to 8,589,753 and 18,409,100 is: 39,453,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589,753 : 18,409,100 = 18,409,100 : x
  2. Step 2: Convert to fraction form
    8,589,753/18,409,100 = 18,409,100/x
  3. Step 3: Cross multiply
    8,589,753x = 18,409,100 × 18,409,100
  4. Step 4: Simplify right side
    8,589,753x = 338,894,962,810,000
  5. Step 5: Solve for x
    x = 338,894,962,810,000/8,589,753
  6. Step 6: Final answer
    x = 39,453,400.21

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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.