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Finding the Third Proportional to 468,732,476 and 990,608,944

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Solution

The third proportional to 468,732,476 and 990,608,944 is: 2,093,531,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,732,476 : 990,608,944 = 990,608,944 : x
  2. Step 2: Convert to fraction form
    468,732,476/990,608,944 = 990,608,944/x
  3. Step 3: Cross multiply
    468,732,476x = 990,608,944 × 990,608,944
  4. Step 4: Simplify right side
    468,732,476x = 981,306,079,932,795,136
  5. Step 5: Solve for x
    x = 981,306,079,932,795,136/468,732,476
  6. Step 6: Final answer
    x = 2,093,531,236.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.