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Finding the Third Proportional to 227,465,903,025 and 500,424,191,055

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Solution

The third proportional to 227,465,903,025 and 500,424,191,055 is: 1,100,931,470,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,465,903,025 : 500,424,191,055 = 500,424,191,055 : x
  2. Step 2: Convert to fraction form
    227,465,903,025/500,424,191,055 = 500,424,191,055/x
  3. Step 3: Cross multiply
    227,465,903,025x = 500,424,191,055 × 500,424,191,055
  4. Step 4: Simplify right side
    227,465,903,025x = 250,424,370,993,051,153,203,200
  5. Step 5: Solve for x
    x = 250,424,370,993,051,153,203,200/227,465,903,025
  6. Step 6: Final answer
    x = 1,100,931,470,003.78

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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.