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Finding the Third Proportional to 2,166,147,096 and 3,300,010,020

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Solution

The third proportional to 2,166,147,096 and 3,300,010,020 is: 5,027,389,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166,147,096 : 3,300,010,020 = 3,300,010,020 : x
  2. Step 2: Convert to fraction form
    2,166,147,096/3,300,010,020 = 3,300,010,020/x
  3. Step 3: Cross multiply
    2,166,147,096x = 3,300,010,020 × 3,300,010,020
  4. Step 4: Simplify right side
    2,166,147,096x = 10,890,066,132,100,401,152
  5. Step 5: Solve for x
    x = 10,890,066,132,100,401,152/2,166,147,096
  6. Step 6: Final answer
    x = 5,027,389,946.05

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.