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Finding the Third Proportional to 11,171,038,187 and 24,303,377,245

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Solution

The third proportional to 11,171,038,187 and 24,303,377,245 is: 52,873,702,123.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,171,038,187 : 24,303,377,245 = 24,303,377,245 : x
  2. Step 2: Convert to fraction form
    11,171,038,187/24,303,377,245 = 24,303,377,245/x
  3. Step 3: Cross multiply
    11,171,038,187x = 24,303,377,245 × 24,303,377,245
  4. Step 4: Simplify right side
    11,171,038,187x = 590,654,145,512,783,740,928
  5. Step 5: Solve for x
    x = 590,654,145,512,783,740,928/11,171,038,187
  6. Step 6: Final answer
    x = 52,873,702,123.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.