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Finding the Third Proportional to 10,150,969,896 and 15,518,215,224

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Solution

The third proportional to 10,150,969,896 and 15,518,215,224 is: 23,723,349,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,150,969,896 : 15,518,215,224 = 15,518,215,224 : x
  2. Step 2: Convert to fraction form
    10,150,969,896/15,518,215,224 = 15,518,215,224/x
  3. Step 3: Cross multiply
    10,150,969,896x = 15,518,215,224 × 15,518,215,224
  4. Step 4: Simplify right side
    10,150,969,896x = 240,815,003,738,385,383,424
  5. Step 5: Solve for x
    x = 240,815,003,738,385,383,424/10,150,969,896
  6. Step 6: Final answer
    x = 23,723,349,217.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.