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Finding the Third Proportional to 644,040,153 and 1,414,603,845

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Solution

The third proportional to 644,040,153 and 1,414,603,845 is: 3,107,110,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,040,153 : 1,414,603,845 = 1,414,603,845 : x
  2. Step 2: Convert to fraction form
    644,040,153/1,414,603,845 = 1,414,603,845/x
  3. Step 3: Cross multiply
    644,040,153x = 1,414,603,845 × 1,414,603,845
  4. Step 4: Simplify right side
    644,040,153x = 2,001,104,038,288,784,128
  5. Step 5: Solve for x
    x = 2,001,104,038,288,784,128/644,040,153
  6. Step 6: Final answer
    x = 3,107,110,680.86

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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.