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Finding the Third Proportional to 383,100,332,152 and 538,804,985,756

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Solution

The third proportional to 383,100,332,152 and 538,804,985,756 is: 757,793,163,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,100,332,152 : 538,804,985,756 = 538,804,985,756 : x
  2. Step 2: Convert to fraction form
    383,100,332,152/538,804,985,756 = 538,804,985,756/x
  3. Step 3: Cross multiply
    383,100,332,152x = 538,804,985,756 × 538,804,985,756
  4. Step 4: Simplify right side
    383,100,332,152x = 290,310,812,675,523,362,160,640
  5. Step 5: Solve for x
    x = 290,310,812,675,523,362,160,640/383,100,332,152
  6. Step 6: Final answer
    x = 757,793,163,594.38

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.