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Finding the Third Proportional to 692,579,029,326 and 1,489,388,821,014

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Solution

The third proportional to 692,579,029,326 and 1,489,388,821,014 is: 3,202,925,538,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,579,029,326 : 1,489,388,821,014 = 1,489,388,821,014 : x
  2. Step 2: Convert to fraction form
    692,579,029,326/1,489,388,821,014 = 1,489,388,821,014/x
  3. Step 3: Cross multiply
    692,579,029,326x = 1,489,388,821,014 × 1,489,388,821,014
  4. Step 4: Simplify right side
    692,579,029,326x = 2,218,279,060,161,473,007,321,088
  5. Step 5: Solve for x
    x = 2,218,279,060,161,473,007,321,088/692,579,029,326
  6. Step 6: Final answer
    x = 3,202,925,538,072.16

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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.