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Finding the Third Proportional to 11,385,037 and 17,609,563.50

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Solution

The third proportional to 11,385,037 and 17,609,563.50 is: 27,237,217.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385,037 : 17,609,563.50 = 17,609,563.50 : x
  2. Step 2: Convert to fraction form
    11,385,037/17,609,563.50 = 17,609,563.50/x
  3. Step 3: Cross multiply
    11,385,037x = 17,609,563.50 × 17,609,563.50
  4. Step 4: Simplify right side
    11,385,037x = 310,096,726,660,532.25
  5. Step 5: Solve for x
    x = 310,096,726,660,532.25/11,385,037
  6. Step 6: Final answer
    x = 27,237,217.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.