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Finding the Third Proportional to 1,389,018,025,042 and 3,008,847,860,162

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Solution

The third proportional to 1,389,018,025,042 and 3,008,847,860,162 is: 6,517,673,120,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389,018,025,042 : 3,008,847,860,162 = 3,008,847,860,162 : x
  2. Step 2: Convert to fraction form
    1,389,018,025,042/3,008,847,860,162 = 3,008,847,860,162/x
  3. Step 3: Cross multiply
    1,389,018,025,042x = 3,008,847,860,162 × 3,008,847,860,162
  4. Step 4: Simplify right side
    1,389,018,025,042x = 9,053,165,445,601,446,540,083,200
  5. Step 5: Solve for x
    x = 9,053,165,445,601,446,540,083,200/1,389,018,025,042
  6. Step 6: Final answer
    x = 6,517,673,120,424.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.