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Finding the Third Proportional to 85,028,118,652 and 182,674,683,824

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Solution

The third proportional to 85,028,118,652 and 182,674,683,824 is: 392,458,878,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,028,118,652 : 182,674,683,824 = 182,674,683,824 : x
  2. Step 2: Convert to fraction form
    85,028,118,652/182,674,683,824 = 182,674,683,824/x
  3. Step 3: Cross multiply
    85,028,118,652x = 182,674,683,824 × 182,674,683,824
  4. Step 4: Simplify right side
    85,028,118,652x = 33,370,040,110,198,367,977,472
  5. Step 5: Solve for x
    x = 33,370,040,110,198,367,977,472/85,028,118,652
  6. Step 6: Final answer
    x = 392,458,878,771.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.