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Finding the Third Proportional to 253,476,816 and 543,332,672

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Solution

The third proportional to 253,476,816 and 543,332,672 is: 1,164,644,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,476,816 : 543,332,672 = 543,332,672 : x
  2. Step 2: Convert to fraction form
    253,476,816/543,332,672 = 543,332,672/x
  3. Step 3: Cross multiply
    253,476,816x = 543,332,672 × 543,332,672
  4. Step 4: Simplify right side
    253,476,816x = 295,210,392,462,659,584
  5. Step 5: Solve for x
    x = 295,210,392,462,659,584/253,476,816
  6. Step 6: Final answer
    x = 1,164,644,550.62

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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.