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Finding the Third Proportional to 2,526,836,816 and 5,453,200,809

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Solution

The third proportional to 2,526,836,816 and 5,453,200,809 is: 11,768,626,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526,836,816 : 5,453,200,809 = 5,453,200,809 : x
  2. Step 2: Convert to fraction form
    2,526,836,816/5,453,200,809 = 5,453,200,809/x
  3. Step 3: Cross multiply
    2,526,836,816x = 5,453,200,809 × 5,453,200,809
  4. Step 4: Simplify right side
    2,526,836,816x = 29,737,399,063,278,256,128
  5. Step 5: Solve for x
    x = 29,737,399,063,278,256,128/2,526,836,816
  6. Step 6: Final answer
    x = 11,768,626,638.25

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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.