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Finding the Third Proportional to 51,072,975 and 71,665,497

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Solution

The third proportional to 51,072,975 and 71,665,497 is: 100,560,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,072,975 : 71,665,497 = 71,665,497 : x
  2. Step 2: Convert to fraction form
    51,072,975/71,665,497 = 71,665,497/x
  3. Step 3: Cross multiply
    51,072,975x = 71,665,497 × 71,665,497
  4. Step 4: Simplify right side
    51,072,975x = 5,135,943,460,257,009
  5. Step 5: Solve for x
    x = 5,135,943,460,257,009/51,072,975
  6. Step 6: Final answer
    x = 100,560,882.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.