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Finding the Third Proportional to 2,651,638,954 and 3,686,892,936

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Solution

The third proportional to 2,651,638,954 and 3,686,892,936 is: 5,126,331,207.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651,638,954 : 3,686,892,936 = 3,686,892,936 : x
  2. Step 2: Convert to fraction form
    2,651,638,954/3,686,892,936 = 3,686,892,936/x
  3. Step 3: Cross multiply
    2,651,638,954x = 3,686,892,936 × 3,686,892,936
  4. Step 4: Simplify right side
    2,651,638,954x = 13,593,179,521,526,700,032
  5. Step 5: Solve for x
    x = 13,593,179,521,526,700,032/2,651,638,954
  6. Step 6: Final answer
    x = 5,126,331,207.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.