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Finding the Third Proportional to 7,678,799,530 and 11,467,880,797

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Solution

The third proportional to 7,678,799,530 and 11,467,880,797 is: 17,126,673,181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,799,530 : 11,467,880,797 = 11,467,880,797 : x
  2. Step 2: Convert to fraction form
    7,678,799,530/11,467,880,797 = 11,467,880,797/x
  3. Step 3: Cross multiply
    7,678,799,530x = 11,467,880,797 × 11,467,880,797
  4. Step 4: Simplify right side
    7,678,799,530x = 131,512,289,974,201,352,192
  5. Step 5: Solve for x
    x = 131,512,289,974,201,352,192/7,678,799,530
  6. Step 6: Final answer
    x = 17,126,673,181.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.