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Finding the Third Proportional to 3,898,487,817.75 and 8,511,365,361

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Solution

The third proportional to 3,898,487,817.75 and 8,511,365,361 is: 18,582,420,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898,487,817.75 : 8,511,365,361 = 8,511,365,361 : x
  2. Step 2: Convert to fraction form
    3,898,487,817.75/8,511,365,361 = 8,511,365,361/x
  3. Step 3: Cross multiply
    3,898,487,817.75x = 8,511,365,361 × 8,511,365,361
  4. Step 4: Simplify right side
    3,898,487,817.75x = 72,443,340,308,430,659,584
  5. Step 5: Solve for x
    x = 72,443,340,308,430,659,584/3,898,487,817.75
  6. Step 6: Final answer
    x = 18,582,420,593.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.