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Finding the Third Proportional to 13,105,444.50 and 19,544,517

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Solution

The third proportional to 13,105,444.50 and 19,544,517 is: 29,147,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105,444.50 : 19,544,517 = 19,544,517 : x
  2. Step 2: Convert to fraction form
    13,105,444.50/19,544,517 = 19,544,517/x
  3. Step 3: Cross multiply
    13,105,444.50x = 19,544,517 × 19,544,517
  4. Step 4: Simplify right side
    13,105,444.50x = 381,988,144,763,289
  5. Step 5: Solve for x
    x = 381,988,144,763,289/13,105,444.50
  6. Step 6: Final answer
    x = 29,147,286.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.