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Finding the Third Proportional to 5,644,363.50 and 12,384,960.75

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Solution

The third proportional to 5,644,363.50 and 12,384,960.75 is: 27,175,296.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644,363.50 : 12,384,960.75 = 12,384,960.75 : x
  2. Step 2: Convert to fraction form
    5,644,363.50/12,384,960.75 = 12,384,960.75/x
  3. Step 3: Cross multiply
    5,644,363.50x = 12,384,960.75 × 12,384,960.75
  4. Step 4: Simplify right side
    5,644,363.50x = 153,387,252,779,040.56
  5. Step 5: Solve for x
    x = 153,387,252,779,040.56/5,644,363.50
  6. Step 6: Final answer
    x = 27,175,296.70

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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.