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Finding the Third Proportional to 9,446,044.50 and 19,564,227

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Solution

The third proportional to 9,446,044.50 and 19,564,227 is: 40,520,556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446,044.50 : 19,564,227 = 19,564,227 : x
  2. Step 2: Convert to fraction form
    9,446,044.50/19,564,227 = 19,564,227/x
  3. Step 3: Cross multiply
    9,446,044.50x = 19,564,227 × 19,564,227
  4. Step 4: Simplify right side
    9,446,044.50x = 382,758,978,107,529
  5. Step 5: Solve for x
    x = 382,758,978,107,529/9,446,044.50
  6. Step 6: Final answer
    x = 40,520,556.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.