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Finding the Third Proportional to 7,866,450 and 17,117,268

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Solution

The third proportional to 7,866,450 and 17,117,268 is: 37,246,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866,450 : 17,117,268 = 17,117,268 : x
  2. Step 2: Convert to fraction form
    7,866,450/17,117,268 = 17,117,268/x
  3. Step 3: Cross multiply
    7,866,450x = 17,117,268 × 17,117,268
  4. Step 4: Simplify right side
    7,866,450x = 293,000,863,783,824
  5. Step 5: Solve for x
    x = 293,000,863,783,824/7,866,450
  6. Step 6: Final answer
    x = 37,246,898.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.