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Finding the Third Proportional to 8,208,539,152 and 17,579,372,792

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Solution

The third proportional to 8,208,539,152 and 17,579,372,792 is: 37,647,910,552.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208,539,152 : 17,579,372,792 = 17,579,372,792 : x
  2. Step 2: Convert to fraction form
    8,208,539,152/17,579,372,792 = 17,579,372,792/x
  3. Step 3: Cross multiply
    8,208,539,152x = 17,579,372,792 × 17,579,372,792
  4. Step 4: Simplify right side
    8,208,539,152x = 309,034,347,760,109,879,296
  5. Step 5: Solve for x
    x = 309,034,347,760,109,879,296/8,208,539,152
  6. Step 6: Final answer
    x = 37,647,910,552.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.