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Finding the Third Proportional to 6,300,449 and 13,741,237

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Solution

The third proportional to 6,300,449 and 13,741,237 is: 29,969,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,300,449 : 13,741,237 = 13,741,237 : x
  2. Step 2: Convert to fraction form
    6,300,449/13,741,237 = 13,741,237/x
  3. Step 3: Cross multiply
    6,300,449x = 13,741,237 × 13,741,237
  4. Step 4: Simplify right side
    6,300,449x = 188,821,594,290,169
  5. Step 5: Solve for x
    x = 188,821,594,290,169/6,300,449
  6. Step 6: Final answer
    x = 29,969,545.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.