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Finding the Third Proportional to 11,955,785 and 19,033,299

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Solution

The third proportional to 11,955,785 and 19,033,299 is: 30,300,517.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955,785 : 19,033,299 = 19,033,299 : x
  2. Step 2: Convert to fraction form
    11,955,785/19,033,299 = 19,033,299/x
  3. Step 3: Cross multiply
    11,955,785x = 19,033,299 × 19,033,299
  4. Step 4: Simplify right side
    11,955,785x = 362,266,470,823,401
  5. Step 5: Solve for x
    x = 362,266,470,823,401/11,955,785
  6. Step 6: Final answer
    x = 30,300,517.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.