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Finding the Third Proportional to 692,579,029,275 and 1,489,388,820,923

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Solution

The third proportional to 692,579,029,275 and 1,489,388,820,923 is: 3,202,925,537,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    692,579,029,275 : 1,489,388,820,923 = 1,489,388,820,923 : x
  2. Step 2: Convert to fraction form
    692,579,029,275/1,489,388,820,923 = 1,489,388,820,923/x
  3. Step 3: Cross multiply
    692,579,029,275x = 1,489,388,820,923 × 1,489,388,820,923
  4. Step 4: Simplify right side
    692,579,029,275x = 2,218,279,059,890,404,199,497,728
  5. Step 5: Solve for x
    x = 2,218,279,059,890,404,199,497,728/692,579,029,275
  6. Step 6: Final answer
    x = 3,202,925,537,916.63

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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.