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Finding the Third Proportional to 252,933,866 and 585,505,434

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Solution

The third proportional to 252,933,866 and 585,505,434 is: 1,355,360,666.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,933,866 : 585,505,434 = 585,505,434 : x
  2. Step 2: Convert to fraction form
    252,933,866/585,505,434 = 585,505,434/x
  3. Step 3: Cross multiply
    252,933,866x = 585,505,434 × 585,505,434
  4. Step 4: Simplify right side
    252,933,866x = 342,816,613,243,528,384
  5. Step 5: Solve for x
    x = 342,816,613,243,528,384/252,933,866
  6. Step 6: Final answer
    x = 1,355,360,666.66

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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.