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Finding the Third Proportional to 5,979,268 and 14,037,282

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Solution

The third proportional to 5,979,268 and 14,037,282 is: 32,954,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979,268 : 14,037,282 = 14,037,282 : x
  2. Step 2: Convert to fraction form
    5,979,268/14,037,282 = 14,037,282/x
  3. Step 3: Cross multiply
    5,979,268x = 14,037,282 × 14,037,282
  4. Step 4: Simplify right side
    5,979,268x = 197,045,285,947,524
  5. Step 5: Solve for x
    x = 197,045,285,947,524/5,979,268
  6. Step 6: Final answer
    x = 32,954,750.64

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.