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Finding the Third Proportional to 6,009,969,571 and 8,012,383,153

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Solution

The third proportional to 6,009,969,571 and 8,012,383,153 is: 10,681,964,863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009,969,571 : 8,012,383,153 = 8,012,383,153 : x
  2. Step 2: Convert to fraction form
    6,009,969,571/8,012,383,153 = 8,012,383,153/x
  3. Step 3: Cross multiply
    6,009,969,571x = 8,012,383,153 × 8,012,383,153
  4. Step 4: Simplify right side
    6,009,969,571x = 64,198,283,790,478,221,312
  5. Step 5: Solve for x
    x = 64,198,283,790,478,221,312/6,009,969,571
  6. Step 6: Final answer
    x = 10,681,964,863.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.