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Finding the Third Proportional to 10,136,571 and 20,991,735.75

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Solution

The third proportional to 10,136,571 and 20,991,735.75 is: 43,471,600.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136,571 : 20,991,735.75 = 20,991,735.75 : x
  2. Step 2: Convert to fraction form
    10,136,571/20,991,735.75 = 20,991,735.75/x
  3. Step 3: Cross multiply
    10,136,571x = 20,991,735.75 × 20,991,735.75
  4. Step 4: Simplify right side
    10,136,571x = 440,652,969,797,828.06
  5. Step 5: Solve for x
    x = 440,652,969,797,828.06/10,136,571
  6. Step 6: Final answer
    x = 43,471,600.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.