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Finding the Third Proportional to 85,028,118,648 and 182,674,683,816

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Solution

The third proportional to 85,028,118,648 and 182,674,683,816 is: 392,458,878,755.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,028,118,648 : 182,674,683,816 = 182,674,683,816 : x
  2. Step 2: Convert to fraction form
    85,028,118,648/182,674,683,816 = 182,674,683,816/x
  3. Step 3: Cross multiply
    85,028,118,648x = 182,674,683,816 × 182,674,683,816
  4. Step 4: Simplify right side
    85,028,118,648x = 33,370,040,107,275,571,429,376
  5. Step 5: Solve for x
    x = 33,370,040,107,275,571,429,376/85,028,118,648
  6. Step 6: Final answer
    x = 392,458,878,755.40

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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.