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Finding the Third Proportional to 318,550,444,618.50 and 682,538,048,257.50

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Solution

The third proportional to 318,550,444,618.50 and 682,538,048,257.50 is: 1,462,431,445,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,550,444,618.50 : 682,538,048,257.50 = 682,538,048,257.50 : x
  2. Step 2: Convert to fraction form
    318,550,444,618.50/682,538,048,257.50 = 682,538,048,257.50/x
  3. Step 3: Cross multiply
    318,550,444,618.50x = 682,538,048,257.50 × 682,538,048,257.50
  4. Step 4: Simplify right side
    318,550,444,618.50x = 465,858,187,319,157,429,633,024
  5. Step 5: Solve for x
    x = 465,858,187,319,157,429,633,024/318,550,444,618.50
  6. Step 6: Final answer
    x = 1,462,431,445,911.42

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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.