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Finding the Third Proportional to 632,983,651,994 and 854,043,567,647

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Solution

The third proportional to 632,983,651,994 and 854,043,567,647 is: 1,152,305,297,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,983,651,994 : 854,043,567,647 = 854,043,567,647 : x
  2. Step 2: Convert to fraction form
    632,983,651,994/854,043,567,647 = 854,043,567,647/x
  3. Step 3: Cross multiply
    632,983,651,994x = 854,043,567,647 × 854,043,567,647
  4. Step 4: Simplify right side
    632,983,651,994x = 729,390,415,439,215,875,588,096
  5. Step 5: Solve for x
    x = 729,390,415,439,215,875,588,096/632,983,651,994
  6. Step 6: Final answer
    x = 1,152,305,297,524.70

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Why These Related Problems?

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