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Finding the Third Proportional to 3,917,827.50 and 8,232,231

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Solution

The third proportional to 3,917,827.50 and 8,232,231 is: 17,297,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917,827.50 : 8,232,231 = 8,232,231 : x
  2. Step 2: Convert to fraction form
    3,917,827.50/8,232,231 = 8,232,231/x
  3. Step 3: Cross multiply
    3,917,827.50x = 8,232,231 × 8,232,231
  4. Step 4: Simplify right side
    3,917,827.50x = 67,769,627,237,361
  5. Step 5: Solve for x
    x = 67,769,627,237,361/3,917,827.50
  6. Step 6: Final answer
    x = 17,297,756.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.