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Finding the Third Proportional to 632,983,651,992 and 854,043,567,644

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Solution

The third proportional to 632,983,651,992 and 854,043,567,644 is: 1,152,305,297,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,983,651,992 : 854,043,567,644 = 854,043,567,644 : x
  2. Step 2: Convert to fraction form
    632,983,651,992/854,043,567,644 = 854,043,567,644/x
  3. Step 3: Cross multiply
    632,983,651,992x = 854,043,567,644 × 854,043,567,644
  4. Step 4: Simplify right side
    632,983,651,992x = 729,390,415,434,091,576,950,784
  5. Step 5: Solve for x
    x = 729,390,415,434,091,576,950,784/632,983,651,992
  6. Step 6: Final answer
    x = 1,152,305,297,520.24

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.