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Finding the Third Proportional to 1,269,884,202.75 and 2,734,375,441.50

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Solution

The third proportional to 1,269,884,202.75 and 2,734,375,441.50 is: 5,887,788,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,884,202.75 : 2,734,375,441.50 = 2,734,375,441.50 : x
  2. Step 2: Convert to fraction form
    1,269,884,202.75/2,734,375,441.50 = 2,734,375,441.50/x
  3. Step 3: Cross multiply
    1,269,884,202.75x = 2,734,375,441.50 × 2,734,375,441.50
  4. Step 4: Simplify right side
    1,269,884,202.75x = 7,476,809,055,078,320,128
  5. Step 5: Solve for x
    x = 7,476,809,055,078,320,128/1,269,884,202.75
  6. Step 6: Final answer
    x = 5,887,788,066.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.