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Finding the Third Proportional to 9,699,063 and 16,164,453

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Solution

The third proportional to 9,699,063 and 16,164,453 is: 26,939,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699,063 : 16,164,453 = 16,164,453 : x
  2. Step 2: Convert to fraction form
    9,699,063/16,164,453 = 16,164,453/x
  3. Step 3: Cross multiply
    9,699,063x = 16,164,453 × 16,164,453
  4. Step 4: Simplify right side
    9,699,063x = 261,289,540,789,209
  5. Step 5: Solve for x
    x = 261,289,540,789,209/9,699,063
  6. Step 6: Final answer
    x = 26,939,668.38

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Why These Related Problems?

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