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Finding the Third Proportional to 2,964,716 and 6,932,268

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Solution

The third proportional to 2,964,716 and 6,932,268 is: 16,209,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964,716 : 6,932,268 = 6,932,268 : x
  2. Step 2: Convert to fraction form
    2,964,716/6,932,268 = 6,932,268/x
  3. Step 3: Cross multiply
    2,964,716x = 6,932,268 × 6,932,268
  4. Step 4: Simplify right side
    2,964,716x = 48,056,339,623,824
  5. Step 5: Solve for x
    x = 48,056,339,623,824/2,964,716
  6. Step 6: Final answer
    x = 16,209,424.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.