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Finding the Third Proportional to 3,449,978,032 and 5,632,907,346

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Solution

The third proportional to 3,449,978,032 and 5,632,907,346 is: 9,197,057,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449,978,032 : 5,632,907,346 = 5,632,907,346 : x
  2. Step 2: Convert to fraction form
    3,449,978,032/5,632,907,346 = 5,632,907,346/x
  3. Step 3: Cross multiply
    3,449,978,032x = 5,632,907,346 × 5,632,907,346
  4. Step 4: Simplify right side
    3,449,978,032x = 31,729,645,168,620,765,184
  5. Step 5: Solve for x
    x = 31,729,645,168,620,765,184/3,449,978,032
  6. Step 6: Final answer
    x = 9,197,057,162.19

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.