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Finding the Third Proportional to 7,968,600 and 16,894,826

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Solution

The third proportional to 7,968,600 and 16,894,826 is: 35,819,986.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968,600 : 16,894,826 = 16,894,826 : x
  2. Step 2: Convert to fraction form
    7,968,600/16,894,826 = 16,894,826/x
  3. Step 3: Cross multiply
    7,968,600x = 16,894,826 × 16,894,826
  4. Step 4: Simplify right side
    7,968,600x = 285,435,145,570,276
  5. Step 5: Solve for x
    x = 285,435,145,570,276/7,968,600
  6. Step 6: Final answer
    x = 35,819,986.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.