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Finding the Third Proportional to 12,698,400 and 19,162,096

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Solution

The third proportional to 12,698,400 and 19,162,096 is: 28,915,920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698,400 : 19,162,096 = 19,162,096 : x
  2. Step 2: Convert to fraction form
    12,698,400/19,162,096 = 19,162,096/x
  3. Step 3: Cross multiply
    12,698,400x = 19,162,096 × 19,162,096
  4. Step 4: Simplify right side
    12,698,400x = 367,185,923,113,216
  5. Step 5: Solve for x
    x = 367,185,923,113,216/12,698,400
  6. Step 6: Final answer
    x = 28,915,920.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.