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Finding the Third Proportional to 1,571,505,869 and 3,422,018,266

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Solution

The third proportional to 1,571,505,869 and 3,422,018,266 is: 7,451,584,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,505,869 : 3,422,018,266 = 3,422,018,266 : x
  2. Step 2: Convert to fraction form
    1,571,505,869/3,422,018,266 = 3,422,018,266/x
  3. Step 3: Cross multiply
    1,571,505,869x = 3,422,018,266 × 3,422,018,266
  4. Step 4: Simplify right side
    1,571,505,869x = 11,710,209,012,837,646,336
  5. Step 5: Solve for x
    x = 11,710,209,012,837,646,336/1,571,505,869
  6. Step 6: Final answer
    x = 7,451,584,651.28

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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.