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Finding the Third Proportional to 12,847,321,287 and 19,640,241,159

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Solution

The third proportional to 12,847,321,287 and 19,640,241,159 is: 30,024,863,873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847,321,287 : 19,640,241,159 = 19,640,241,159 : x
  2. Step 2: Convert to fraction form
    12,847,321,287/19,640,241,159 = 19,640,241,159/x
  3. Step 3: Cross multiply
    12,847,321,287x = 19,640,241,159 × 19,640,241,159
  4. Step 4: Simplify right side
    12,847,321,287x = 385,739,072,783,677,652,992
  5. Step 5: Solve for x
    x = 385,739,072,783,677,652,992/12,847,321,287
  6. Step 6: Final answer
    x = 30,024,863,873.69

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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.