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Finding the Third Proportional to 318,550,444,635 and 682,538,048,289

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Solution

The third proportional to 318,550,444,635 and 682,538,048,289 is: 1,462,431,445,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,550,444,635 : 682,538,048,289 = 682,538,048,289 : x
  2. Step 2: Convert to fraction form
    318,550,444,635/682,538,048,289 = 682,538,048,289/x
  3. Step 3: Cross multiply
    318,550,444,635x = 682,538,048,289 × 682,538,048,289
  4. Step 4: Simplify right side
    318,550,444,635x = 465,858,187,362,157,300,023,296
  5. Step 5: Solve for x
    x = 465,858,187,362,157,300,023,296/318,550,444,635
  6. Step 6: Final answer
    x = 1,462,431,445,970.65

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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.