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Finding the Third Proportional to 3,670,299,813 and 5,436,632,278

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Solution

The third proportional to 3,670,299,813 and 5,436,632,278 is: 8,053,012,569.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670,299,813 : 5,436,632,278 = 5,436,632,278 : x
  2. Step 2: Convert to fraction form
    3,670,299,813/5,436,632,278 = 5,436,632,278/x
  3. Step 3: Cross multiply
    3,670,299,813x = 5,436,632,278 × 5,436,632,278
  4. Step 4: Simplify right side
    3,670,299,813x = 29,556,970,526,191,468,544
  5. Step 5: Solve for x
    x = 29,556,970,526,191,468,544/3,670,299,813
  6. Step 6: Final answer
    x = 8,053,012,569.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.