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Finding the Third Proportional to 1,374,568,864,274 and 2,788,331,856,196

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Solution

The third proportional to 1,374,568,864,274 and 2,788,331,856,196 is: 5,656,169,539,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374,568,864,274 : 2,788,331,856,196 = 2,788,331,856,196 : x
  2. Step 2: Convert to fraction form
    1,374,568,864,274/2,788,331,856,196 = 2,788,331,856,196/x
  3. Step 3: Cross multiply
    1,374,568,864,274x = 2,788,331,856,196 × 2,788,331,856,196
  4. Step 4: Simplify right side
    1,374,568,864,274x = 7,774,794,540,277,431,304,978,432
  5. Step 5: Solve for x
    x = 7,774,794,540,277,431,304,978,432/1,374,568,864,274
  6. Step 6: Final answer
    x = 5,656,169,539,664.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.