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Finding the Third Proportional to 55,431,714 and 120,936,516

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Solution

The third proportional to 55,431,714 and 120,936,516 is: 263,849,696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,431,714 : 120,936,516 = 120,936,516 : x
  2. Step 2: Convert to fraction form
    55,431,714/120,936,516 = 120,936,516/x
  3. Step 3: Cross multiply
    55,431,714x = 120,936,516 × 120,936,516
  4. Step 4: Simplify right side
    55,431,714x = 14,625,640,902,218,256
  5. Step 5: Solve for x
    x = 14,625,640,902,218,256/55,431,714
  6. Step 6: Final answer
    x = 263,849,696.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.