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Finding the Third Proportional to 1,277,148,827 and 2,753,647,077

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Solution

The third proportional to 1,277,148,827 and 2,753,647,077 is: 5,937,109,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,148,827 : 2,753,647,077 = 2,753,647,077 : x
  2. Step 2: Convert to fraction form
    1,277,148,827/2,753,647,077 = 2,753,647,077/x
  3. Step 3: Cross multiply
    1,277,148,827x = 2,753,647,077 × 2,753,647,077
  4. Step 4: Simplify right side
    1,277,148,827x = 7,582,572,224,670,644,224
  5. Step 5: Solve for x
    x = 7,582,572,224,670,644,224/1,277,148,827
  6. Step 6: Final answer
    x = 5,937,109,336.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.