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Finding the Third Proportional to 57,540,013.50 and 123,241,911

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Solution

The third proportional to 57,540,013.50 and 123,241,911 is: 263,965,329.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,540,013.50 : 123,241,911 = 123,241,911 : x
  2. Step 2: Convert to fraction form
    57,540,013.50/123,241,911 = 123,241,911/x
  3. Step 3: Cross multiply
    57,540,013.50x = 123,241,911 × 123,241,911
  4. Step 4: Simplify right side
    57,540,013.50x = 15,188,568,626,931,920
  5. Step 5: Solve for x
    x = 15,188,568,626,931,920/57,540,013.50
  6. Step 6: Final answer
    x = 263,965,329.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.