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Finding the Third Proportional to 1,270,377,111 and 2,751,802,638

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Solution

The third proportional to 1,270,377,111 and 2,751,802,638 is: 5,960,763,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,377,111 : 2,751,802,638 = 2,751,802,638 : x
  2. Step 2: Convert to fraction form
    1,270,377,111/2,751,802,638 = 2,751,802,638/x
  3. Step 3: Cross multiply
    1,270,377,111x = 2,751,802,638 × 2,751,802,638
  4. Step 4: Simplify right side
    1,270,377,111x = 7,572,417,758,503,758,848
  5. Step 5: Solve for x
    x = 7,572,417,758,503,758,848/1,270,377,111
  6. Step 6: Final answer
    x = 5,960,763,692.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.