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Finding the Third Proportional to 182,915,954,356 and 396,226,879,592

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Solution

The third proportional to 182,915,954,356 and 396,226,879,592 is: 858,294,404,465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,915,954,356 : 396,226,879,592 = 396,226,879,592 : x
  2. Step 2: Convert to fraction form
    182,915,954,356/396,226,879,592 = 396,226,879,592/x
  3. Step 3: Cross multiply
    182,915,954,356x = 396,226,879,592 × 396,226,879,592
  4. Step 4: Simplify right side
    182,915,954,356x = 156,995,740,111,213,263,060,992
  5. Step 5: Solve for x
    x = 156,995,740,111,213,263,060,992/182,915,954,356
  6. Step 6: Final answer
    x = 858,294,404,465.46

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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.