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Finding the Third Proportional to 1,571,511,728 and 3,422,030,008

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Solution

The third proportional to 1,571,511,728 and 3,422,030,008 is: 7,451,608,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,511,728 : 3,422,030,008 = 3,422,030,008 : x
  2. Step 2: Convert to fraction form
    1,571,511,728/3,422,030,008 = 3,422,030,008/x
  3. Step 3: Cross multiply
    1,571,511,728x = 3,422,030,008 × 3,422,030,008
  4. Step 4: Simplify right side
    1,571,511,728x = 11,710,289,375,652,481,024
  5. Step 5: Solve for x
    x = 11,710,289,375,652,481,024/1,571,511,728
  6. Step 6: Final answer
    x = 7,451,608,007.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.