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Finding the Third Proportional to 1,277,148,825 and 2,753,647,073

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Solution

The third proportional to 1,277,148,825 and 2,753,647,073 is: 5,937,109,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277,148,825 : 2,753,647,073 = 2,753,647,073 : x
  2. Step 2: Convert to fraction form
    1,277,148,825/2,753,647,073 = 2,753,647,073/x
  3. Step 3: Cross multiply
    1,277,148,825x = 2,753,647,073 × 2,753,647,073
  4. Step 4: Simplify right side
    1,277,148,825x = 7,582,572,202,641,467,392
  5. Step 5: Solve for x
    x = 7,582,572,202,641,467,392/1,277,148,825
  6. Step 6: Final answer
    x = 5,937,109,328.38

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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.