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Finding the Third Proportional to 3,143,282,121 and 4,831,449,849

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Solution

The third proportional to 3,143,282,121 and 4,831,449,849 is: 7,426,284,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143,282,121 : 4,831,449,849 = 4,831,449,849 : x
  2. Step 2: Convert to fraction form
    3,143,282,121/4,831,449,849 = 4,831,449,849/x
  3. Step 3: Cross multiply
    3,143,282,121x = 4,831,449,849 × 4,831,449,849
  4. Step 4: Simplify right side
    3,143,282,121x = 23,342,907,643,402,121,216
  5. Step 5: Solve for x
    x = 23,342,907,643,402,121,216/3,143,282,121
  6. Step 6: Final answer
    x = 7,426,284,611.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.