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Finding the Third Proportional to 318,550,444,636 and 682,538,048,291

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Solution

The third proportional to 318,550,444,636 and 682,538,048,291 is: 1,462,431,445,974.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,550,444,636 : 682,538,048,291 = 682,538,048,291 : x
  2. Step 2: Convert to fraction form
    318,550,444,636/682,538,048,291 = 682,538,048,291/x
  3. Step 3: Cross multiply
    318,550,444,636x = 682,538,048,291 × 682,538,048,291
  4. Step 4: Simplify right side
    318,550,444,636x = 465,858,187,364,887,422,828,544
  5. Step 5: Solve for x
    x = 465,858,187,364,887,422,828,544/318,550,444,636
  6. Step 6: Final answer
    x = 1,462,431,445,974.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.