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Finding the Third Proportional to 2,049,670,728,963 and 4,268,991,458,538

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Solution

The third proportional to 2,049,670,728,963 and 4,268,991,458,538 is: 8,891,324,745,751.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,670,728,963 : 4,268,991,458,538 = 4,268,991,458,538 : x
  2. Step 2: Convert to fraction form
    2,049,670,728,963/4,268,991,458,538 = 4,268,991,458,538/x
  3. Step 3: Cross multiply
    2,049,670,728,963x = 4,268,991,458,538 × 4,268,991,458,538
  4. Step 4: Simplify right side
    2,049,670,728,963x = 18,224,288,073,070,401,307,017,216
  5. Step 5: Solve for x
    x = 18,224,288,073,070,401,307,017,216/2,049,670,728,963
  6. Step 6: Final answer
    x = 8,891,324,745,751.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.