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Finding the Third Proportional to 5,421,421 and 11,787,194

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Solution

The third proportional to 5,421,421 and 11,787,194 is: 25,627,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421,421 : 11,787,194 = 11,787,194 : x
  2. Step 2: Convert to fraction form
    5,421,421/11,787,194 = 11,787,194/x
  3. Step 3: Cross multiply
    5,421,421x = 11,787,194 × 11,787,194
  4. Step 4: Simplify right side
    5,421,421x = 138,937,942,393,636
  5. Step 5: Solve for x
    x = 138,937,942,393,636/5,421,421
  6. Step 6: Final answer
    x = 25,627,587.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.