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Finding the Third Proportional to 1,015,651,644.75 and 2,059,861,101.75

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Solution

The third proportional to 1,015,651,644.75 and 2,059,861,101.75 is: 4,177,640,808.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,651,644.75 : 2,059,861,101.75 = 2,059,861,101.75 : x
  2. Step 2: Convert to fraction form
    1,015,651,644.75/2,059,861,101.75 = 2,059,861,101.75/x
  3. Step 3: Cross multiply
    1,015,651,644.75x = 2,059,861,101.75 × 2,059,861,101.75
  4. Step 4: Simplify right side
    1,015,651,644.75x = 4,243,027,758,502,724,096
  5. Step 5: Solve for x
    x = 4,243,027,758,502,724,096/1,015,651,644.75
  6. Step 6: Final answer
    x = 4,177,640,808.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.