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Finding the Third Proportional to 1,632,183,969 and 3,541,481,181

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Solution

The third proportional to 1,632,183,969 and 3,541,481,181 is: 7,684,237,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,183,969 : 3,541,481,181 = 3,541,481,181 : x
  2. Step 2: Convert to fraction form
    1,632,183,969/3,541,481,181 = 3,541,481,181/x
  3. Step 3: Cross multiply
    1,632,183,969x = 3,541,481,181 × 3,541,481,181
  4. Step 4: Simplify right side
    1,632,183,969x = 12,542,088,955,377,154,048
  5. Step 5: Solve for x
    x = 12,542,088,955,377,154,048/1,632,183,969
  6. Step 6: Final answer
    x = 7,684,237,312.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.