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Finding the Third Proportional to 2,214,640,809 and 5,227,868,415

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Solution

The third proportional to 2,214,640,809 and 5,227,868,415 is: 12,340,876,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214,640,809 : 5,227,868,415 = 5,227,868,415 : x
  2. Step 2: Convert to fraction form
    2,214,640,809/5,227,868,415 = 5,227,868,415/x
  3. Step 3: Cross multiply
    2,214,640,809x = 5,227,868,415 × 5,227,868,415
  4. Step 4: Simplify right side
    2,214,640,809x = 27,330,608,164,554,612,736
  5. Step 5: Solve for x
    x = 27,330,608,164,554,612,736/2,214,640,809
  6. Step 6: Final answer
    x = 12,340,876,251.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.