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Finding the Third Proportional to 33,531,007,950 and 68,047,307,514

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Solution

The third proportional to 33,531,007,950 and 68,047,307,514 is: 138,094,150,548.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,531,007,950 : 68,047,307,514 = 68,047,307,514 : x
  2. Step 2: Convert to fraction form
    33,531,007,950/68,047,307,514 = 68,047,307,514/x
  3. Step 3: Cross multiply
    33,531,007,950x = 68,047,307,514 × 68,047,307,514
  4. Step 4: Simplify right side
    33,531,007,950x = 4,630,436,059,904,880,934,912
  5. Step 5: Solve for x
    x = 4,630,436,059,904,880,934,912/33,531,007,950
  6. Step 6: Final answer
    x = 138,094,150,548.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.