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Finding the Third Proportional to 10,399,771.50 and 23,189,385

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Solution

The third proportional to 10,399,771.50 and 23,189,385 is: 51,707,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399,771.50 : 23,189,385 = 23,189,385 : x
  2. Step 2: Convert to fraction form
    10,399,771.50/23,189,385 = 23,189,385/x
  3. Step 3: Cross multiply
    10,399,771.50x = 23,189,385 × 23,189,385
  4. Step 4: Simplify right side
    10,399,771.50x = 537,747,576,678,225
  5. Step 5: Solve for x
    x = 537,747,576,678,225/10,399,771.50
  6. Step 6: Final answer
    x = 51,707,633.83

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.