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Finding the Third Proportional to 204,287,682 and 453,924,420

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Solution

The third proportional to 204,287,682 and 453,924,420 is: 1,008,613,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,287,682 : 453,924,420 = 453,924,420 : x
  2. Step 2: Convert to fraction form
    204,287,682/453,924,420 = 453,924,420/x
  3. Step 3: Cross multiply
    204,287,682x = 453,924,420 × 453,924,420
  4. Step 4: Simplify right side
    204,287,682x = 206,047,379,072,336,384
  5. Step 5: Solve for x
    x = 206,047,379,072,336,384/204,287,682
  6. Step 6: Final answer
    x = 1,008,613,818.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.