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Finding the Third Proportional to 411,065,102.81 and 843,922,003.29

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Solution

The third proportional to 411,065,102.81 and 843,922,003.29 is: 1,732,582,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,065,102.81 : 843,922,003.29 = 843,922,003.29 : x
  2. Step 2: Convert to fraction form
    411,065,102.81/843,922,003.29 = 843,922,003.29/x
  3. Step 3: Cross multiply
    411,065,102.81x = 843,922,003.29 × 843,922,003.29
  4. Step 4: Simplify right side
    411,065,102.81x = 712,204,347,635,487,744
  5. Step 5: Solve for x
    x = 712,204,347,635,487,744/411,065,102.81
  6. Step 6: Final answer
    x = 1,732,582,850.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.