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Finding the Third Proportional to 1,122,907,512 and 2,504,007,852

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Solution

The third proportional to 1,122,907,512 and 2,504,007,852 is: 5,583,768,258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122,907,512 : 2,504,007,852 = 2,504,007,852 : x
  2. Step 2: Convert to fraction form
    1,122,907,512/2,504,007,852 = 2,504,007,852/x
  3. Step 3: Cross multiply
    1,122,907,512x = 2,504,007,852 × 2,504,007,852
  4. Step 4: Simplify right side
    1,122,907,512x = 6,270,055,322,877,654,016
  5. Step 5: Solve for x
    x = 6,270,055,322,877,654,016/1,122,907,512
  6. Step 6: Final answer
    x = 5,583,768,258.63

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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.