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Finding the Third Proportional to 12,847,321,289 and 19,640,241,162

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Solution

The third proportional to 12,847,321,289 and 19,640,241,162 is: 30,024,863,878.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,847,321,289 : 19,640,241,162 = 19,640,241,162 : x
  2. Step 2: Convert to fraction form
    12,847,321,289/19,640,241,162 = 19,640,241,162/x
  3. Step 3: Cross multiply
    12,847,321,289x = 19,640,241,162 × 19,640,241,162
  4. Step 4: Simplify right side
    12,847,321,289x = 385,739,072,901,519,114,240
  5. Step 5: Solve for x
    x = 385,739,072,901,519,114,240/12,847,321,289
  6. Step 6: Final answer
    x = 30,024,863,878.18

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