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Finding the Third Proportional to 5,690,218.50 and 12,442,671

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Solution

The third proportional to 5,690,218.50 and 12,442,671 is: 27,208,104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690,218.50 : 12,442,671 = 12,442,671 : x
  2. Step 2: Convert to fraction form
    5,690,218.50/12,442,671 = 12,442,671/x
  3. Step 3: Cross multiply
    5,690,218.50x = 12,442,671 × 12,442,671
  4. Step 4: Simplify right side
    5,690,218.50x = 154,820,061,614,241
  5. Step 5: Solve for x
    x = 154,820,061,614,241/5,690,218.50
  6. Step 6: Final answer
    x = 27,208,104.86

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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.