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Finding the Third Proportional to 692,579,029,277 and 1,489,388,820,927

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Solution

The third proportional to 692,579,029,277 and 1,489,388,820,927 is: 3,202,925,537,924.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,579,029,277 : 1,489,388,820,927 = 1,489,388,820,927 : x
  2. Step 2: Convert to fraction form
    692,579,029,277/1,489,388,820,927 = 1,489,388,820,927/x
  3. Step 3: Cross multiply
    692,579,029,277x = 1,489,388,820,927 × 1,489,388,820,927
  4. Step 4: Simplify right side
    692,579,029,277x = 2,218,279,059,902,319,244,083,200
  5. Step 5: Solve for x
    x = 2,218,279,059,902,319,244,083,200/692,579,029,277
  6. Step 6: Final answer
    x = 3,202,925,537,924.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.