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Finding the Third Proportional to 821,540,249 and 1,826,765,170

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Solution

The third proportional to 821,540,249 and 1,826,765,170 is: 4,061,968,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,540,249 : 1,826,765,170 = 1,826,765,170 : x
  2. Step 2: Convert to fraction form
    821,540,249/1,826,765,170 = 1,826,765,170/x
  3. Step 3: Cross multiply
    821,540,249x = 1,826,765,170 × 1,826,765,170
  4. Step 4: Simplify right side
    821,540,249x = 3,337,070,986,325,128,704
  5. Step 5: Solve for x
    x = 3,337,070,986,325,128,704/821,540,249
  6. Step 6: Final answer
    x = 4,061,968,954.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.