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Finding the Third Proportional to 8,076,000 and 17,286,999

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Solution

The third proportional to 8,076,000 and 17,286,999 is: 37,003,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076,000 : 17,286,999 = 17,286,999 : x
  2. Step 2: Convert to fraction form
    8,076,000/17,286,999 = 17,286,999/x
  3. Step 3: Cross multiply
    8,076,000x = 17,286,999 × 17,286,999
  4. Step 4: Simplify right side
    8,076,000x = 298,840,334,426,001
  5. Step 5: Solve for x
    x = 298,840,334,426,001/8,076,000
  6. Step 6: Final answer
    x = 37,003,508.47

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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.