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Finding the Third Proportional to 1,077,876,856 and 2,338,702,586

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Solution

The third proportional to 1,077,876,856 and 2,338,702,586 is: 5,074,354,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,876,856 : 2,338,702,586 = 2,338,702,586 : x
  2. Step 2: Convert to fraction form
    1,077,876,856/2,338,702,586 = 2,338,702,586/x
  3. Step 3: Cross multiply
    1,077,876,856x = 2,338,702,586 × 2,338,702,586
  4. Step 4: Simplify right side
    1,077,876,856x = 5,469,529,785,763,087,360
  5. Step 5: Solve for x
    x = 5,469,529,785,763,087,360/1,077,876,856
  6. Step 6: Final answer
    x = 5,074,354,974.15

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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.