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Finding the Third Proportional to 934,590,161 and 1,994,270,403.50

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Solution

The third proportional to 934,590,161 and 1,994,270,403.50 is: 4,255,463,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,590,161 : 1,994,270,403.50 = 1,994,270,403.50 : x
  2. Step 2: Convert to fraction form
    934,590,161/1,994,270,403.50 = 1,994,270,403.50/x
  3. Step 3: Cross multiply
    934,590,161x = 1,994,270,403.50 × 1,994,270,403.50
  4. Step 4: Simplify right side
    934,590,161x = 3,977,114,442,276,052,992
  5. Step 5: Solve for x
    x = 3,977,114,442,276,052,992/934,590,161
  6. Step 6: Final answer
    x = 4,255,463,633.41

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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.