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Finding the Third Proportional to 3,857,098.50 and 8,213,652

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Solution

The third proportional to 3,857,098.50 and 8,213,652 is: 17,490,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857,098.50 : 8,213,652 = 8,213,652 : x
  2. Step 2: Convert to fraction form
    3,857,098.50/8,213,652 = 8,213,652/x
  3. Step 3: Cross multiply
    3,857,098.50x = 8,213,652 × 8,213,652
  4. Step 4: Simplify right side
    3,857,098.50x = 67,464,079,177,104
  5. Step 5: Solve for x
    x = 67,464,079,177,104/3,857,098.50
  6. Step 6: Final answer
    x = 17,490,888.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.