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Finding the Third Proportional to 246,804,310,590 and 347,554,855,028

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Solution

The third proportional to 246,804,310,590 and 347,554,855,028 is: 489,433,822,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,804,310,590 : 347,554,855,028 = 347,554,855,028 : x
  2. Step 2: Convert to fraction form
    246,804,310,590/347,554,855,028 = 347,554,855,028/x
  3. Step 3: Cross multiply
    246,804,310,590x = 347,554,855,028 × 347,554,855,028
  4. Step 4: Simplify right side
    246,804,310,590x = 120,794,377,253,534,092,492,800
  5. Step 5: Solve for x
    x = 120,794,377,253,534,092,492,800/246,804,310,590
  6. Step 6: Final answer
    x = 489,433,822,953.77

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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.