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Finding the Third Proportional to 1,295,511,463 and 2,797,456,697

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Solution

The third proportional to 1,295,511,463 and 2,797,456,697 is: 6,040,675,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295,511,463 : 2,797,456,697 = 2,797,456,697 : x
  2. Step 2: Convert to fraction form
    1,295,511,463/2,797,456,697 = 2,797,456,697/x
  3. Step 3: Cross multiply
    1,295,511,463x = 2,797,456,697 × 2,797,456,697
  4. Step 4: Simplify right side
    1,295,511,463x = 7,825,763,971,590,150,144
  5. Step 5: Solve for x
    x = 7,825,763,971,590,150,144/1,295,511,463
  6. Step 6: Final answer
    x = 6,040,675,204.42

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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.