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Finding the Third Proportional to 4,438,994,197 and 9,659,430,184

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Solution

The third proportional to 4,438,994,197 and 9,659,430,184 is: 21,019,309,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,438,994,197 : 9,659,430,184 = 9,659,430,184 : x
  2. Step 2: Convert to fraction form
    4,438,994,197/9,659,430,184 = 9,659,430,184/x
  3. Step 3: Cross multiply
    4,438,994,197x = 9,659,430,184 × 9,659,430,184
  4. Step 4: Simplify right side
    4,438,994,197x = 93,304,591,479,570,268,160
  5. Step 5: Solve for x
    x = 93,304,591,479,570,268,160/4,438,994,197
  6. Step 6: Final answer
    x = 21,019,309,181.04

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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.