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Finding the Third Proportional to 4,093,629,274 and 6,288,315,374

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Solution

The third proportional to 4,093,629,274 and 6,288,315,374 is: 9,659,621,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093,629,274 : 6,288,315,374 = 6,288,315,374 : x
  2. Step 2: Convert to fraction form
    4,093,629,274/6,288,315,374 = 6,288,315,374/x
  3. Step 3: Cross multiply
    4,093,629,274x = 6,288,315,374 × 6,288,315,374
  4. Step 4: Simplify right side
    4,093,629,274x = 39,542,910,242,884,763,648
  5. Step 5: Solve for x
    x = 39,542,910,242,884,763,648/4,093,629,274
  6. Step 6: Final answer
    x = 9,659,621,718.57

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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.