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Finding the Third Proportional to 11,968,498.25 and 18,954,734.75

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Solution

The third proportional to 11,968,498.25 and 18,954,734.75 is: 30,018,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968,498.25 : 18,954,734.75 = 18,954,734.75 : x
  2. Step 2: Convert to fraction form
    11,968,498.25/18,954,734.75 = 18,954,734.75/x
  3. Step 3: Cross multiply
    11,968,498.25x = 18,954,734.75 × 18,954,734.75
  4. Step 4: Simplify right side
    11,968,498.25x = 359,281,969,442,857.56
  5. Step 5: Solve for x
    x = 359,281,969,442,857.56/11,968,498.25
  6. Step 6: Final answer
    x = 30,018,968.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.