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Finding the Third Proportional to 632,983,651,996 and 854,043,567,650

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Solution

The third proportional to 632,983,651,996 and 854,043,567,650 is: 1,152,305,297,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,983,651,996 : 854,043,567,650 = 854,043,567,650 : x
  2. Step 2: Convert to fraction form
    632,983,651,996/854,043,567,650 = 854,043,567,650/x
  3. Step 3: Cross multiply
    632,983,651,996x = 854,043,567,650 × 854,043,567,650
  4. Step 4: Simplify right side
    632,983,651,996x = 729,390,415,444,340,174,225,408
  5. Step 5: Solve for x
    x = 729,390,415,444,340,174,225,408/632,983,651,996
  6. Step 6: Final answer
    x = 1,152,305,297,529.15

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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.