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Finding the Third Proportional to 952,105,128 and 1,471,245,156

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Solution

The third proportional to 952,105,128 and 1,471,245,156 is: 2,273,448,850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,105,128 : 1,471,245,156 = 1,471,245,156 : x
  2. Step 2: Convert to fraction form
    952,105,128/1,471,245,156 = 1,471,245,156/x
  3. Step 3: Cross multiply
    952,105,128x = 1,471,245,156 × 1,471,245,156
  4. Step 4: Simplify right side
    952,105,128x = 2,164,562,309,053,464,320
  5. Step 5: Solve for x
    x = 2,164,562,309,053,464,320/952,105,128
  6. Step 6: Final answer
    x = 2,273,448,850.76

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.