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Finding the Third Proportional to 1,571,505,867 and 3,422,018,262

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Solution

The third proportional to 1,571,505,867 and 3,422,018,262 is: 7,451,584,643.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571,505,867 : 3,422,018,262 = 3,422,018,262 : x
  2. Step 2: Convert to fraction form
    1,571,505,867/3,422,018,262 = 3,422,018,262/x
  3. Step 3: Cross multiply
    1,571,505,867x = 3,422,018,262 × 3,422,018,262
  4. Step 4: Simplify right side
    1,571,505,867x = 11,710,208,985,461,499,904
  5. Step 5: Solve for x
    x = 11,710,208,985,461,499,904/1,571,505,867
  6. Step 6: Final answer
    x = 7,451,584,643.34

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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.