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Finding the Third Proportional to 6,293,153.25 and 13,782,231

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Solution

The third proportional to 6,293,153.25 and 13,782,231 is: 30,183,579.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293,153.25 : 13,782,231 = 13,782,231 : x
  2. Step 2: Convert to fraction form
    6,293,153.25/13,782,231 = 13,782,231/x
  3. Step 3: Cross multiply
    6,293,153.25x = 13,782,231 × 13,782,231
  4. Step 4: Simplify right side
    6,293,153.25x = 189,949,891,337,361
  5. Step 5: Solve for x
    x = 189,949,891,337,361/6,293,153.25
  6. Step 6: Final answer
    x = 30,183,579.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.