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Finding the Third Proportional to 2,083,350,048 and 4,453,218,800

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Solution

The third proportional to 2,083,350,048 and 4,453,218,800 is: 9,518,879,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,350,048 : 4,453,218,800 = 4,453,218,800 : x
  2. Step 2: Convert to fraction form
    2,083,350,048/4,453,218,800 = 4,453,218,800/x
  3. Step 3: Cross multiply
    2,083,350,048x = 4,453,218,800 × 4,453,218,800
  4. Step 4: Simplify right side
    2,083,350,048x = 19,831,157,680,673,439,744
  5. Step 5: Solve for x
    x = 19,831,157,680,673,439,744/2,083,350,048
  6. Step 6: Final answer
    x = 9,518,879,316.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.