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Finding the Third Proportional to 375,083,993,119.50 and 804,617,556,544.48

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Solution

The third proportional to 375,083,993,119.50 and 804,617,556,544.48 is: 1,726,038,498,511.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,083,993,119.50 : 804,617,556,544.48 = 804,617,556,544.48 : x
  2. Step 2: Convert to fraction form
    375,083,993,119.50/804,617,556,544.48 = 804,617,556,544.48/x
  3. Step 3: Cross multiply
    375,083,993,119.50x = 804,617,556,544.48 × 804,617,556,544.48
  4. Step 4: Simplify right side
    375,083,993,119.50x = 647,409,412,299,609,459,392,512
  5. Step 5: Solve for x
    x = 647,409,412,299,609,459,392,512/375,083,993,119.50
  6. Step 6: Final answer
    x = 1,726,038,498,511.31

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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.