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Finding the Third Proportional to 8,589,751 and 18,409,096

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Solution

The third proportional to 8,589,751 and 18,409,096 is: 39,453,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589,751 : 18,409,096 = 18,409,096 : x
  2. Step 2: Convert to fraction form
    8,589,751/18,409,096 = 18,409,096/x
  3. Step 3: Cross multiply
    8,589,751x = 18,409,096 × 18,409,096
  4. Step 4: Simplify right side
    8,589,751x = 338,894,815,537,216
  5. Step 5: Solve for x
    x = 338,894,815,537,216/8,589,751
  6. Step 6: Final answer
    x = 39,453,392.25

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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.