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Finding the Third Proportional to 812,305,161 and 1,237,503,757.50

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Solution

The third proportional to 812,305,161 and 1,237,503,757.50 is: 1,885,271,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,305,161 : 1,237,503,757.50 = 1,237,503,757.50 : x
  2. Step 2: Convert to fraction form
    812,305,161/1,237,503,757.50 = 1,237,503,757.50/x
  3. Step 3: Cross multiply
    812,305,161x = 1,237,503,757.50 × 1,237,503,757.50
  4. Step 4: Simplify right side
    812,305,161x = 1,531,415,549,826,618,880
  5. Step 5: Solve for x
    x = 1,531,415,549,826,618,880/812,305,161
  6. Step 6: Final answer
    x = 1,885,271,229.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.