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Finding the Third Proportional to 934,590,162 and 1,994,270,406

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Solution

The third proportional to 934,590,162 and 1,994,270,406 is: 4,255,463,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,590,162 : 1,994,270,406 = 1,994,270,406 : x
  2. Step 2: Convert to fraction form
    934,590,162/1,994,270,406 = 1,994,270,406/x
  3. Step 3: Cross multiply
    934,590,162x = 1,994,270,406 × 1,994,270,406
  4. Step 4: Simplify right side
    934,590,162x = 3,977,114,452,247,405,056
  5. Step 5: Solve for x
    x = 3,977,114,452,247,405,056/934,590,162
  6. Step 6: Final answer
    x = 4,255,463,639.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.