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Finding the Third Proportional to 1,169,392,997 and 2,600,243,824

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Solution

The third proportional to 1,169,392,997 and 2,600,243,824 is: 5,781,861,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,392,997 : 2,600,243,824 = 2,600,243,824 : x
  2. Step 2: Convert to fraction form
    1,169,392,997/2,600,243,824 = 2,600,243,824/x
  3. Step 3: Cross multiply
    1,169,392,997x = 2,600,243,824 × 2,600,243,824
  4. Step 4: Simplify right side
    1,169,392,997x = 6,761,267,944,250,142,720
  5. Step 5: Solve for x
    x = 6,761,267,944,250,142,720/1,169,392,997
  6. Step 6: Final answer
    x = 5,781,861,154.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.