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Finding the Third Proportional to 85,028,118,629 and 182,674,683,766

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Solution

The third proportional to 85,028,118,629 and 182,674,683,766 is: 392,458,878,628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,028,118,629 : 182,674,683,766 = 182,674,683,766 : x
  2. Step 2: Convert to fraction form
    85,028,118,629/182,674,683,766 = 182,674,683,766/x
  3. Step 3: Cross multiply
    85,028,118,629x = 182,674,683,766 × 182,674,683,766
  4. Step 4: Simplify right side
    85,028,118,629x = 33,370,040,089,008,102,440,960
  5. Step 5: Solve for x
    x = 33,370,040,089,008,102,440,960/85,028,118,629
  6. Step 6: Final answer
    x = 392,458,878,628.26

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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.