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Finding the Third Proportional to 2,083,350,064 and 4,453,218,832

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Solution

The third proportional to 2,083,350,064 and 4,453,218,832 is: 9,518,879,380.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,350,064 : 4,453,218,832 = 4,453,218,832 : x
  2. Step 2: Convert to fraction form
    2,083,350,064/4,453,218,832 = 4,453,218,832/x
  3. Step 3: Cross multiply
    2,083,350,064x = 4,453,218,832 × 4,453,218,832
  4. Step 4: Simplify right side
    2,083,350,064x = 19,831,157,965,679,443,968
  5. Step 5: Solve for x
    x = 19,831,157,965,679,443,968/2,083,350,064
  6. Step 6: Final answer
    x = 9,518,879,380.07

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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.