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Finding the Third Proportional to 692,579,029,272.75 and 1,489,388,820,918.80

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Solution

The third proportional to 692,579,029,272.75 and 1,489,388,820,918.80 is: 3,202,925,537,908.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,579,029,272.75 : 1,489,388,820,918.80 = 1,489,388,820,918.80 : x
  2. Step 2: Convert to fraction form
    692,579,029,272.75/1,489,388,820,918.80 = 1,489,388,820,918.80/x
  3. Step 3: Cross multiply
    692,579,029,272.75x = 1,489,388,820,918.80 × 1,489,388,820,918.80
  4. Step 4: Simplify right side
    692,579,029,272.75x = 2,218,279,059,877,893,496,635,392
  5. Step 5: Solve for x
    x = 2,218,279,059,877,893,496,635,392/692,579,029,272.75
  6. Step 6: Final answer
    x = 3,202,925,537,908.97

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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.