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Finding the Third Proportional to 1,295,529,003 and 2,797,489,422

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Solution

The third proportional to 1,295,529,003 and 2,797,489,422 is: 6,040,734,748.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,529,003 : 2,797,489,422 = 2,797,489,422 : x
  2. Step 2: Convert to fraction form
    1,295,529,003/2,797,489,422 = 2,797,489,422/x
  3. Step 3: Cross multiply
    1,295,529,003x = 2,797,489,422 × 2,797,489,422
  4. Step 4: Simplify right side
    1,295,529,003x = 7,825,947,066,201,893,888
  5. Step 5: Solve for x
    x = 7,825,947,066,201,893,888/1,295,529,003
  6. Step 6: Final answer
    x = 6,040,734,748.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.