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Finding the Third Proportional to 9,969,124 and 14,256,024

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Solution

The third proportional to 9,969,124 and 14,256,024 is: 20,386,366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969,124 : 14,256,024 = 14,256,024 : x
  2. Step 2: Convert to fraction form
    9,969,124/14,256,024 = 14,256,024/x
  3. Step 3: Cross multiply
    9,969,124x = 14,256,024 × 14,256,024
  4. Step 4: Simplify right side
    9,969,124x = 203,234,220,288,576
  5. Step 5: Solve for x
    x = 203,234,220,288,576/9,969,124
  6. Step 6: Final answer
    x = 20,386,366.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.