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Finding the Third Proportional to 291,021,954,425 and 636,905,945,692

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Solution

The third proportional to 291,021,954,425 and 636,905,945,692 is: 1,393,878,288,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,021,954,425 : 636,905,945,692 = 636,905,945,692 : x
  2. Step 2: Convert to fraction form
    291,021,954,425/636,905,945,692 = 636,905,945,692/x
  3. Step 3: Cross multiply
    291,021,954,425x = 636,905,945,692 × 636,905,945,692
  4. Step 4: Simplify right side
    291,021,954,425x = 405,649,183,657,820,856,254,464
  5. Step 5: Solve for x
    x = 405,649,183,657,820,856,254,464/291,021,954,425
  6. Step 6: Final answer
    x = 1,393,878,288,183.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.