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Finding the Third Proportional to 5,338,942.50 and 12,597,741

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Solution

The third proportional to 5,338,942.50 and 12,597,741 is: 29,725,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338,942.50 : 12,597,741 = 12,597,741 : x
  2. Step 2: Convert to fraction form
    5,338,942.50/12,597,741 = 12,597,741/x
  3. Step 3: Cross multiply
    5,338,942.50x = 12,597,741 × 12,597,741
  4. Step 4: Simplify right side
    5,338,942.50x = 158,703,078,303,081
  5. Step 5: Solve for x
    x = 158,703,078,303,081/5,338,942.50
  6. Step 6: Final answer
    x = 29,725,564.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.