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Finding the Third Proportional to 12,567,324 and 19,340,874

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Solution

The third proportional to 12,567,324 and 19,340,874 is: 29,765,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567,324 : 19,340,874 = 19,340,874 : x
  2. Step 2: Convert to fraction form
    12,567,324/19,340,874 = 19,340,874/x
  3. Step 3: Cross multiply
    12,567,324x = 19,340,874 × 19,340,874
  4. Step 4: Simplify right side
    12,567,324x = 374,069,407,083,876
  5. Step 5: Solve for x
    x = 374,069,407,083,876/12,567,324
  6. Step 6: Final answer
    x = 29,765,239.37

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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.