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Finding the Third Proportional to 23,641,576 and 51,318,590

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Solution

The third proportional to 23,641,576 and 51,318,590 is: 111,396,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,641,576 : 51,318,590 = 51,318,590 : x
  2. Step 2: Convert to fraction form
    23,641,576/51,318,590 = 51,318,590/x
  3. Step 3: Cross multiply
    23,641,576x = 51,318,590 × 51,318,590
  4. Step 4: Simplify right side
    23,641,576x = 2,633,597,679,588,100
  5. Step 5: Solve for x
    x = 2,633,597,679,588,100/23,641,576
  6. Step 6: Final answer
    x = 111,396,874.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.