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Finding the Third Proportional to 7,760,009 and 11,747,369

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Solution

The third proportional to 7,760,009 and 11,747,369 is: 17,783,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760,009 : 11,747,369 = 11,747,369 : x
  2. Step 2: Convert to fraction form
    7,760,009/11,747,369 = 11,747,369/x
  3. Step 3: Cross multiply
    7,760,009x = 11,747,369 × 11,747,369
  4. Step 4: Simplify right side
    7,760,009x = 138,000,678,422,161
  5. Step 5: Solve for x
    x = 138,000,678,422,161/7,760,009
  6. Step 6: Final answer
    x = 17,783,571.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.