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Finding the Third Proportional to 1,632,184,017 and 3,541,481,313

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Solution

The third proportional to 1,632,184,017 and 3,541,481,313 is: 7,684,237,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632,184,017 : 3,541,481,313 = 3,541,481,313 : x
  2. Step 2: Convert to fraction form
    1,632,184,017/3,541,481,313 = 3,541,481,313/x
  3. Step 3: Cross multiply
    1,632,184,017x = 3,541,481,313 × 3,541,481,313
  4. Step 4: Simplify right side
    1,632,184,017x = 12,542,089,890,328,203,264
  5. Step 5: Solve for x
    x = 12,542,089,890,328,203,264/1,632,184,017
  6. Step 6: Final answer
    x = 7,684,237,659.29

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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.