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Finding the Third Proportional to 246,804,310,588 and 347,554,855,025

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Solution

The third proportional to 246,804,310,588 and 347,554,855,025 is: 489,433,822,949.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,804,310,588 : 347,554,855,025 = 347,554,855,025 : x
  2. Step 2: Convert to fraction form
    246,804,310,588/347,554,855,025 = 347,554,855,025/x
  3. Step 3: Cross multiply
    246,804,310,588x = 347,554,855,025 × 347,554,855,025
  4. Step 4: Simplify right side
    246,804,310,588x = 120,794,377,251,448,768,430,080
  5. Step 5: Solve for x
    x = 120,794,377,251,448,768,430,080/246,804,310,588
  6. Step 6: Final answer
    x = 489,433,822,949.29

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