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Finding the Third Proportional to 7,683,849 and 16,363,148

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Solution

The third proportional to 7,683,849 and 16,363,148 is: 34,846,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683,849 : 16,363,148 = 16,363,148 : x
  2. Step 2: Convert to fraction form
    7,683,849/16,363,148 = 16,363,148/x
  3. Step 3: Cross multiply
    7,683,849x = 16,363,148 × 16,363,148
  4. Step 4: Simplify right side
    7,683,849x = 267,752,612,469,904
  5. Step 5: Solve for x
    x = 267,752,612,469,904/7,683,849
  6. Step 6: Final answer
    x = 34,846,157.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.