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Finding the Third Proportional to 263,172,200 and 570,276,832

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Solution

The third proportional to 263,172,200 and 570,276,832 is: 1,235,752,351.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,172,200 : 570,276,832 = 570,276,832 : x
  2. Step 2: Convert to fraction form
    263,172,200/570,276,832 = 570,276,832/x
  3. Step 3: Cross multiply
    263,172,200x = 570,276,832 × 570,276,832
  4. Step 4: Simplify right side
    263,172,200x = 325,215,665,115,956,224
  5. Step 5: Solve for x
    x = 325,215,665,115,956,224/263,172,200
  6. Step 6: Final answer
    x = 1,235,752,351.94

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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.