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Finding the Third Proportional to 7,676,666,760 and 11,794,350,048

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Solution

The third proportional to 7,676,666,760 and 11,794,350,048 is: 18,120,715,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,666,760 : 11,794,350,048 = 11,794,350,048 : x
  2. Step 2: Convert to fraction form
    7,676,666,760/11,794,350,048 = 11,794,350,048/x
  3. Step 3: Cross multiply
    7,676,666,760x = 11,794,350,048 × 11,794,350,048
  4. Step 4: Simplify right side
    7,676,666,760x = 139,106,693,054,757,601,280
  5. Step 5: Solve for x
    x = 139,106,693,054,757,601,280/7,676,666,760
  6. Step 6: Final answer
    x = 18,120,715,331.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.