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Finding the Third Proportional to 6,449,040 and 14,076,936

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Solution

The third proportional to 6,449,040 and 14,076,936 is: 30,727,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449,040 : 14,076,936 = 14,076,936 : x
  2. Step 2: Convert to fraction form
    6,449,040/14,076,936 = 14,076,936/x
  3. Step 3: Cross multiply
    6,449,040x = 14,076,936 × 14,076,936
  4. Step 4: Simplify right side
    6,449,040x = 198,160,127,148,096
  5. Step 5: Solve for x
    x = 198,160,127,148,096/6,449,040
  6. Step 6: Final answer
    x = 30,727,073.66

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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.