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Finding the Third Proportional to 12,567,034,716 and 18,741,572,220

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Solution

The third proportional to 12,567,034,716 and 18,741,572,220 is: 27,949,833,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567,034,716 : 18,741,572,220 = 18,741,572,220 : x
  2. Step 2: Convert to fraction form
    12,567,034,716/18,741,572,220 = 18,741,572,220/x
  3. Step 3: Cross multiply
    12,567,034,716x = 18,741,572,220 × 18,741,572,220
  4. Step 4: Simplify right side
    12,567,034,716x = 351,246,529,277,475,749,888
  5. Step 5: Solve for x
    x = 351,246,529,277,475,749,888/12,567,034,716
  6. Step 6: Final answer
    x = 27,949,833,609.54

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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.