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Finding the Third Proportional to 252,933,861 and 585,505,424.25

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Solution

The third proportional to 252,933,861 and 585,505,424.25 is: 1,355,360,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,933,861 : 585,505,424.25 = 585,505,424.25 : x
  2. Step 2: Convert to fraction form
    252,933,861/585,505,424.25 = 585,505,424.25/x
  3. Step 3: Cross multiply
    252,933,861x = 585,505,424.25 × 585,505,424.25
  4. Step 4: Simplify right side
    252,933,861x = 342,816,601,826,172,480
  5. Step 5: Solve for x
    x = 342,816,601,826,172,480/252,933,861
  6. Step 6: Final answer
    x = 1,355,360,648.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.