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Finding the Third Proportional to 9,699,060.50 and 16,164,450

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Solution

The third proportional to 9,699,060.50 and 16,164,450 is: 26,939,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699,060.50 : 16,164,450 = 16,164,450 : x
  2. Step 2: Convert to fraction form
    9,699,060.50/16,164,450 = 16,164,450/x
  3. Step 3: Cross multiply
    9,699,060.50x = 16,164,450 × 16,164,450
  4. Step 4: Simplify right side
    9,699,060.50x = 261,289,443,802,500
  5. Step 5: Solve for x
    x = 261,289,443,802,500/9,699,060.50
  6. Step 6: Final answer
    x = 26,939,665.32

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.