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Finding the Third Proportional to 246,804,310,584 and 347,554,855,019.25

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Solution

The third proportional to 246,804,310,584 and 347,554,855,019.25 is: 489,433,822,941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,804,310,584 : 347,554,855,019.25 = 347,554,855,019.25 : x
  2. Step 2: Convert to fraction form
    246,804,310,584/347,554,855,019.25 = 347,554,855,019.25/x
  3. Step 3: Cross multiply
    246,804,310,584x = 347,554,855,019.25 × 347,554,855,019.25
  4. Step 4: Simplify right side
    246,804,310,584x = 120,794,377,247,451,881,930,752
  5. Step 5: Solve for x
    x = 120,794,377,247,451,881,930,752/246,804,310,584
  6. Step 6: Final answer
    x = 489,433,822,941.03

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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.