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Finding the Third Proportional to 1,276,184,826 and 2,770,172,982

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Solution

The third proportional to 1,276,184,826 and 2,770,172,982 is: 6,013,124,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276,184,826 : 2,770,172,982 = 2,770,172,982 : x
  2. Step 2: Convert to fraction form
    1,276,184,826/2,770,172,982 = 2,770,172,982/x
  3. Step 3: Cross multiply
    1,276,184,826x = 2,770,172,982 × 2,770,172,982
  4. Step 4: Simplify right side
    1,276,184,826x = 7,673,858,350,202,772,480
  5. Step 5: Solve for x
    x = 7,673,858,350,202,772,480/1,276,184,826
  6. Step 6: Final answer
    x = 6,013,124,583.42

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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.