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Finding the Third Proportional to 384,163,904,349.50 and 854,221,374,745.50

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Solution

The third proportional to 384,163,904,349.50 and 854,221,374,745.50 is: 1,899,434,457,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,163,904,349.50 : 854,221,374,745.50 = 854,221,374,745.50 : x
  2. Step 2: Convert to fraction form
    384,163,904,349.50/854,221,374,745.50 = 854,221,374,745.50/x
  3. Step 3: Cross multiply
    384,163,904,349.50x = 854,221,374,745.50 × 854,221,374,745.50
  4. Step 4: Simplify right side
    384,163,904,349.50x = 729,694,157,072,091,890,843,648
  5. Step 5: Solve for x
    x = 729,694,157,072,091,890,843,648/384,163,904,349.50
  6. Step 6: Final answer
    x = 1,899,434,457,039.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.