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Finding the Third Proportional to 8,076,004 and 17,287,007

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Solution

The third proportional to 8,076,004 and 17,287,007 is: 37,003,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076,004 : 17,287,007 = 17,287,007 : x
  2. Step 2: Convert to fraction form
    8,076,004/17,287,007 = 17,287,007/x
  3. Step 3: Cross multiply
    8,076,004x = 17,287,007 × 17,287,007
  4. Step 4: Simplify right side
    8,076,004x = 298,840,611,018,049
  5. Step 5: Solve for x
    x = 298,840,611,018,049/8,076,004
  6. Step 6: Final answer
    x = 37,003,524.39

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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.