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Finding the Third Proportional to 3,865,216 and 8,198,144

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Solution

The third proportional to 3,865,216 and 8,198,144 is: 17,388,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865,216 : 8,198,144 = 8,198,144 : x
  2. Step 2: Convert to fraction form
    3,865,216/8,198,144 = 8,198,144/x
  3. Step 3: Cross multiply
    3,865,216x = 8,198,144 × 8,198,144
  4. Step 4: Simplify right side
    3,865,216x = 67,209,565,044,736
  5. Step 5: Solve for x
    x = 67,209,565,044,736/3,865,216
  6. Step 6: Final answer
    x = 17,388,307.68

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