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Finding the Third Proportional to 8,076,576 and 17,288,435

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Solution

The third proportional to 8,076,576 and 17,288,435 is: 37,007,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076,576 : 17,288,435 = 17,288,435 : x
  2. Step 2: Convert to fraction form
    8,076,576/17,288,435 = 17,288,435/x
  3. Step 3: Cross multiply
    8,076,576x = 17,288,435 × 17,288,435
  4. Step 4: Simplify right side
    8,076,576x = 298,889,984,749,225
  5. Step 5: Solve for x
    x = 298,889,984,749,225/8,076,576
  6. Step 6: Final answer
    x = 37,007,016.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.