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Finding the Third Proportional to 3,833,146.50 and 8,198,145

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Solution

The third proportional to 3,833,146.50 and 8,198,145 is: 17,533,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833,146.50 : 8,198,145 = 8,198,145 : x
  2. Step 2: Convert to fraction form
    3,833,146.50/8,198,145 = 8,198,145/x
  3. Step 3: Cross multiply
    3,833,146.50x = 8,198,145 × 8,198,145
  4. Step 4: Simplify right side
    3,833,146.50x = 67,209,581,441,025
  5. Step 5: Solve for x
    x = 67,209,581,441,025/3,833,146.50
  6. Step 6: Final answer
    x = 17,533,788.87

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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.