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Finding the Third Proportional to 20,843,940 and 45,928,474.50

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Solution

The third proportional to 20,843,940 and 45,928,474.50 is: 101,200,865.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,843,940 : 45,928,474.50 = 45,928,474.50 : x
  2. Step 2: Convert to fraction form
    20,843,940/45,928,474.50 = 45,928,474.50/x
  3. Step 3: Cross multiply
    20,843,940x = 45,928,474.50 × 45,928,474.50
  4. Step 4: Simplify right side
    20,843,940x = 2,109,424,769,897,150.25
  5. Step 5: Solve for x
    x = 2,109,424,769,897,150.25/20,843,940
  6. Step 6: Final answer
    x = 101,200,865.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.