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Finding the Third Proportional to 692,579,029,324 and 1,489,388,821,010

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Solution

The third proportional to 692,579,029,324 and 1,489,388,821,010 is: 3,202,925,538,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,579,029,324 : 1,489,388,821,010 = 1,489,388,821,010 : x
  2. Step 2: Convert to fraction form
    692,579,029,324/1,489,388,821,010 = 1,489,388,821,010/x
  3. Step 3: Cross multiply
    692,579,029,324x = 1,489,388,821,010 × 1,489,388,821,010
  4. Step 4: Simplify right side
    692,579,029,324x = 2,218,279,060,149,557,694,300,160
  5. Step 5: Solve for x
    x = 2,218,279,060,149,557,694,300,160/692,579,029,324
  6. Step 6: Final answer
    x = 3,202,925,538,064.21

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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.