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Finding the Third Proportional to 7,676,666,660 and 11,794,349,883

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Solution

The third proportional to 7,676,666,660 and 11,794,349,883 is: 18,120,715,060.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,666,660 : 11,794,349,883 = 11,794,349,883 : x
  2. Step 2: Convert to fraction form
    7,676,666,660/11,794,349,883 = 11,794,349,883/x
  3. Step 3: Cross multiply
    7,676,666,660x = 11,794,349,883 × 11,794,349,883
  4. Step 4: Simplify right side
    7,676,666,660x = 139,106,689,162,622,107,648
  5. Step 5: Solve for x
    x = 139,106,689,162,622,107,648/7,676,666,660
  6. Step 6: Final answer
    x = 18,120,715,060.80

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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.