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Finding the Third Proportional to 8,589,749 and 18,409,094

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Solution

The third proportional to 8,589,749 and 18,409,094 is: 39,453,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589,749 : 18,409,094 = 18,409,094 : x
  2. Step 2: Convert to fraction form
    8,589,749/18,409,094 = 18,409,094/x
  3. Step 3: Cross multiply
    8,589,749x = 18,409,094 × 18,409,094
  4. Step 4: Simplify right side
    8,589,749x = 338,894,741,900,836
  5. Step 5: Solve for x
    x = 338,894,741,900,836/8,589,749
  6. Step 6: Final answer
    x = 39,453,392.86

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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.