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Finding the Third Proportional to 692,579,029,287 and 1,489,388,820,960

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Solution

The third proportional to 692,579,029,287 and 1,489,388,820,960 is: 3,202,925,538,020.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,579,029,287 : 1,489,388,820,960 = 1,489,388,820,960 : x
  2. Step 2: Convert to fraction form
    692,579,029,287/1,489,388,820,960 = 1,489,388,820,960/x
  3. Step 3: Cross multiply
    692,579,029,287x = 1,489,388,820,960 × 1,489,388,820,960
  4. Step 4: Simplify right side
    692,579,029,287x = 2,218,279,060,000,618,965,893,120
  5. Step 5: Solve for x
    x = 2,218,279,060,000,618,965,893,120/692,579,029,287
  6. Step 6: Final answer
    x = 3,202,925,538,020.27

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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.