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Finding the Third Proportional to 812,305,165 and 1,237,503,764

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Solution

The third proportional to 812,305,165 and 1,237,503,764 is: 1,885,271,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,305,165 : 1,237,503,764 = 1,237,503,764 : x
  2. Step 2: Convert to fraction form
    812,305,165/1,237,503,764 = 1,237,503,764/x
  3. Step 3: Cross multiply
    812,305,165x = 1,237,503,764 × 1,237,503,764
  4. Step 4: Simplify right side
    812,305,165x = 1,531,415,565,914,167,808
  5. Step 5: Solve for x
    x = 1,531,415,565,914,167,808/812,305,165
  6. Step 6: Final answer
    x = 1,885,271,240.29

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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.