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Finding the Third Proportional to 33,531,007,951 and 68,047,307,516

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Solution

The third proportional to 33,531,007,951 and 68,047,307,516 is: 138,094,150,552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,531,007,951 : 68,047,307,516 = 68,047,307,516 : x
  2. Step 2: Convert to fraction form
    33,531,007,951/68,047,307,516 = 68,047,307,516/x
  3. Step 3: Cross multiply
    33,531,007,951x = 68,047,307,516 × 68,047,307,516
  4. Step 4: Simplify right side
    33,531,007,951x = 4,630,436,060,177,070,292,992
  5. Step 5: Solve for x
    x = 4,630,436,060,177,070,292,992/33,531,007,951
  6. Step 6: Final answer
    x = 138,094,150,552.94

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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.