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Finding the Third Proportional to 829,079,999,314 and 1,273,789,787,414

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Solution

The third proportional to 829,079,999,314 and 1,273,789,787,414 is: 1,957,037,226,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,079,999,314 : 1,273,789,787,414 = 1,273,789,787,414 : x
  2. Step 2: Convert to fraction form
    829,079,999,314/1,273,789,787,414 = 1,273,789,787,414/x
  3. Step 3: Cross multiply
    829,079,999,314x = 1,273,789,787,414 × 1,273,789,787,414
  4. Step 4: Simplify right side
    829,079,999,314x = 1,622,540,422,520,203,219,304,448
  5. Step 5: Solve for x
    x = 1,622,540,422,520,203,219,304,448/829,079,999,314
  6. Step 6: Final answer
    x = 1,957,037,226,640.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.