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Finding the Third Proportional to 253,476,450 and 543,331,962

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Solution

The third proportional to 253,476,450 and 543,331,962 is: 1,164,643,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,476,450 : 543,331,962 = 543,331,962 : x
  2. Step 2: Convert to fraction form
    253,476,450/543,331,962 = 543,331,962/x
  3. Step 3: Cross multiply
    253,476,450x = 543,331,962 × 543,331,962
  4. Step 4: Simplify right side
    253,476,450x = 295,209,620,930,769,472
  5. Step 5: Solve for x
    x = 295,209,620,930,769,472/253,476,450
  6. Step 6: Final answer
    x = 1,164,643,188.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.