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Finding the Third Proportional to 268,530,042 and 414,657,367

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Solution

The third proportional to 268,530,042 and 414,657,367 is: 640,303,523.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,530,042 : 414,657,367 = 414,657,367 : x
  2. Step 2: Convert to fraction form
    268,530,042/414,657,367 = 414,657,367/x
  3. Step 3: Cross multiply
    268,530,042x = 414,657,367 × 414,657,367
  4. Step 4: Simplify right side
    268,530,042x = 171,940,732,007,372,704
  5. Step 5: Solve for x
    x = 171,940,732,007,372,704/268,530,042
  6. Step 6: Final answer
    x = 640,303,523.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.