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Finding the Third Proportional to 16,837,738.50 and 24,626,751

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Solution

The third proportional to 16,837,738.50 and 24,626,751 is: 36,018,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,837,738.50 : 24,626,751 = 24,626,751 : x
  2. Step 2: Convert to fraction form
    16,837,738.50/24,626,751 = 24,626,751/x
  3. Step 3: Cross multiply
    16,837,738.50x = 24,626,751 × 24,626,751
  4. Step 4: Simplify right side
    16,837,738.50x = 606,476,864,816,001
  5. Step 5: Solve for x
    x = 606,476,864,816,001/16,837,738.50
  6. Step 6: Final answer
    x = 36,018,902.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.