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Finding the Third Proportional to 5,389,297,616 and 11,794,556,809

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Solution

The third proportional to 5,389,297,616 and 11,794,556,809 is: 25,812,560,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389,297,616 : 11,794,556,809 = 11,794,556,809 : x
  2. Step 2: Convert to fraction form
    5,389,297,616/11,794,556,809 = 11,794,556,809/x
  3. Step 3: Cross multiply
    5,389,297,616x = 11,794,556,809 × 11,794,556,809
  4. Step 4: Simplify right side
    5,389,297,616x = 139,111,570,320,728,260,608
  5. Step 5: Solve for x
    x = 139,111,570,320,728,260,608/5,389,297,616
  6. Step 6: Final answer
    x = 25,812,560,417.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.