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Finding the Third Proportional to 1,594,969,361,694 and 3,431,845,280,007

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Solution

The third proportional to 1,594,969,361,694 and 3,431,845,280,007 is: 7,384,193,269,642.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594,969,361,694 : 3,431,845,280,007 = 3,431,845,280,007 : x
  2. Step 2: Convert to fraction form
    1,594,969,361,694/3,431,845,280,007 = 3,431,845,280,007/x
  3. Step 3: Cross multiply
    1,594,969,361,694x = 3,431,845,280,007 × 3,431,845,280,007
  4. Step 4: Simplify right side
    1,594,969,361,694x = 11,777,562,025,906,323,201,196,032
  5. Step 5: Solve for x
    x = 11,777,562,025,906,323,201,196,032/1,594,969,361,694
  6. Step 6: Final answer
    x = 7,384,193,269,642.18

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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.