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Finding the Third Proportional to 1,199,121,066 and 2,673,958,932

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Solution

The third proportional to 1,199,121,066 and 2,673,958,932 is: 5,962,747,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,121,066 : 2,673,958,932 = 2,673,958,932 : x
  2. Step 2: Convert to fraction form
    1,199,121,066/2,673,958,932 = 2,673,958,932/x
  3. Step 3: Cross multiply
    1,199,121,066x = 2,673,958,932 × 2,673,958,932
  4. Step 4: Simplify right side
    1,199,121,066x = 7,150,056,370,022,580,224
  5. Step 5: Solve for x
    x = 7,150,056,370,022,580,224/1,199,121,066
  6. Step 6: Final answer
    x = 5,962,747,693.09

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.