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Finding the Third Proportional to 1,169,393,001 and 2,600,243,832

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Solution

The third proportional to 1,169,393,001 and 2,600,243,832 is: 5,781,861,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169,393,001 : 2,600,243,832 = 2,600,243,832 : x
  2. Step 2: Convert to fraction form
    1,169,393,001/2,600,243,832 = 2,600,243,832/x
  3. Step 3: Cross multiply
    1,169,393,001x = 2,600,243,832 × 2,600,243,832
  4. Step 4: Simplify right side
    1,169,393,001x = 6,761,267,985,854,044,160
  5. Step 5: Solve for x
    x = 6,761,267,985,854,044,160/1,169,393,001
  6. Step 6: Final answer
    x = 5,781,861,170.77

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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.