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Finding the Third Proportional to 12,567,034,719 and 18,741,572,224

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Solution

The third proportional to 12,567,034,719 and 18,741,572,224 is: 27,949,833,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567,034,719 : 18,741,572,224 = 18,741,572,224 : x
  2. Step 2: Convert to fraction form
    12,567,034,719/18,741,572,224 = 18,741,572,224/x
  3. Step 3: Cross multiply
    12,567,034,719x = 18,741,572,224 × 18,741,572,224
  4. Step 4: Simplify right side
    12,567,034,719x = 351,246,529,427,408,289,792
  5. Step 5: Solve for x
    x = 351,246,529,427,408,289,792/12,567,034,719
  6. Step 6: Final answer
    x = 27,949,833,614.80

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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.