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Finding the Third Proportional to 12,567,034,689 and 18,741,572,181

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Solution

The third proportional to 12,567,034,689 and 18,741,572,181 is: 27,949,833,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567,034,689 : 18,741,572,181 = 18,741,572,181 : x
  2. Step 2: Convert to fraction form
    12,567,034,689/18,741,572,181 = 18,741,572,181/x
  3. Step 3: Cross multiply
    12,567,034,689x = 18,741,572,181 × 18,741,572,181
  4. Step 4: Simplify right side
    12,567,034,689x = 351,246,527,815,633,076,224
  5. Step 5: Solve for x
    x = 351,246,527,815,633,076,224/12,567,034,689
  6. Step 6: Final answer
    x = 27,949,833,553.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.