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Finding the Third Proportional to 237,421,817 and 523,146,399

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Solution

The third proportional to 237,421,817 and 523,146,399 is: 1,152,725,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,421,817 : 523,146,399 = 523,146,399 : x
  2. Step 2: Convert to fraction form
    237,421,817/523,146,399 = 523,146,399/x
  3. Step 3: Cross multiply
    237,421,817x = 523,146,399 × 523,146,399
  4. Step 4: Simplify right side
    237,421,817x = 273,682,154,786,667,200
  5. Step 5: Solve for x
    x = 273,682,154,786,667,200/237,421,817
  6. Step 6: Final answer
    x = 1,152,725,382.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.