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Finding the Third Proportional to 7,678,799,734 and 11,467,881,078

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Solution

The third proportional to 7,678,799,734 and 11,467,881,078 is: 17,126,673,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,799,734 : 11,467,881,078 = 11,467,881,078 : x
  2. Step 2: Convert to fraction form
    7,678,799,734/11,467,881,078 = 11,467,881,078/x
  3. Step 3: Cross multiply
    7,678,799,734x = 11,467,881,078 × 11,467,881,078
  4. Step 4: Simplify right side
    7,678,799,734x = 131,512,296,419,150,446,592
  5. Step 5: Solve for x
    x = 131,512,296,419,150,446,592/7,678,799,734
  6. Step 6: Final answer
    x = 17,126,673,565.51

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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.