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Finding the Third Proportional to 629,280,193 and 952,655,167

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Solution

The third proportional to 629,280,193 and 952,655,167 is: 1,442,206,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,280,193 : 952,655,167 = 952,655,167 : x
  2. Step 2: Convert to fraction form
    629,280,193/952,655,167 = 952,655,167/x
  3. Step 3: Cross multiply
    629,280,193x = 952,655,167 × 952,655,167
  4. Step 4: Simplify right side
    629,280,193x = 907,551,867,211,797,888
  5. Step 5: Solve for x
    x = 907,551,867,211,797,888/629,280,193
  6. Step 6: Final answer
    x = 1,442,206,313.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.