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Finding the Third Proportional to 6,632,450 and 14,432,611

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Solution

The third proportional to 6,632,450 and 14,432,611 is: 31,406,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632,450 : 14,432,611 = 14,432,611 : x
  2. Step 2: Convert to fraction form
    6,632,450/14,432,611 = 14,432,611/x
  3. Step 3: Cross multiply
    6,632,450x = 14,432,611 × 14,432,611
  4. Step 4: Simplify right side
    6,632,450x = 208,300,260,277,321
  5. Step 5: Solve for x
    x = 208,300,260,277,321/6,632,450
  6. Step 6: Final answer
    x = 31,406,231.52

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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.