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Finding the Third Proportional to 1,638,840,900 and 3,604,567,836

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Solution

The third proportional to 1,638,840,900 and 3,604,567,836 is: 7,928,108,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,840,900 : 3,604,567,836 = 3,604,567,836 : x
  2. Step 2: Convert to fraction form
    1,638,840,900/3,604,567,836 = 3,604,567,836/x
  3. Step 3: Cross multiply
    1,638,840,900x = 3,604,567,836 × 3,604,567,836
  4. Step 4: Simplify right side
    1,638,840,900x = 12,992,909,284,325,722,112
  5. Step 5: Solve for x
    x = 12,992,909,284,325,722,112/1,638,840,900
  6. Step 6: Final answer
    x = 7,928,108,997.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.