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Finding the Third Proportional to 253,244,747 and 548,756,938

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Solution

The third proportional to 253,244,747 and 548,756,938 is: 1,189,103,349.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,244,747 : 548,756,938 = 548,756,938 : x
  2. Step 2: Convert to fraction form
    253,244,747/548,756,938 = 548,756,938/x
  3. Step 3: Cross multiply
    253,244,747x = 548,756,938 × 548,756,938
  4. Step 4: Simplify right side
    253,244,747x = 301,134,177,003,135,872
  5. Step 5: Solve for x
    x = 301,134,177,003,135,872/253,244,747
  6. Step 6: Final answer
    x = 1,189,103,349.90

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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.