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Finding the Third Proportional to 5,512,756,764 and 8,273,167,002

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Solution

The third proportional to 5,512,756,764 and 8,273,167,002 is: 12,415,801,235.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,512,756,764 : 8,273,167,002 = 8,273,167,002 : x
  2. Step 2: Convert to fraction form
    5,512,756,764/8,273,167,002 = 8,273,167,002/x
  3. Step 3: Cross multiply
    5,512,756,764x = 8,273,167,002 × 8,273,167,002
  4. Step 4: Simplify right side
    5,512,756,764x = 68,445,292,242,981,666,816
  5. Step 5: Solve for x
    x = 68,445,292,242,981,666,816/5,512,756,764
  6. Step 6: Final answer
    x = 12,415,801,235.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.