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Finding the Third Proportional to 811,268,848 and 1,771,200,992

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Solution

The third proportional to 811,268,848 and 1,771,200,992 is: 3,866,970,809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,268,848 : 1,771,200,992 = 1,771,200,992 : x
  2. Step 2: Convert to fraction form
    811,268,848/1,771,200,992 = 1,771,200,992/x
  3. Step 3: Cross multiply
    811,268,848x = 1,771,200,992 × 1,771,200,992
  4. Step 4: Simplify right side
    811,268,848x = 3,137,152,954,061,784,064
  5. Step 5: Solve for x
    x = 3,137,152,954,061,784,064/811,268,848
  6. Step 6: Final answer
    x = 3,866,970,809.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.