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Finding the Third Proportional to 1,277,148,829 and 2,753,647,081

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Solution

The third proportional to 1,277,148,829 and 2,753,647,081 is: 5,937,109,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,148,829 : 2,753,647,081 = 2,753,647,081 : x
  2. Step 2: Convert to fraction form
    1,277,148,829/2,753,647,081 = 2,753,647,081/x
  3. Step 3: Cross multiply
    1,277,148,829x = 2,753,647,081 × 2,753,647,081
  4. Step 4: Simplify right side
    1,277,148,829x = 7,582,572,246,699,821,056
  5. Step 5: Solve for x
    x = 7,582,572,246,699,821,056/1,277,148,829
  6. Step 6: Final answer
    x = 5,937,109,344.29

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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.