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Finding the Third Proportional to 4,097,449 and 8,851,408

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Solution

The third proportional to 4,097,449 and 8,851,408 is: 19,121,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,449 : 8,851,408 = 8,851,408 : x
  2. Step 2: Convert to fraction form
    4,097,449/8,851,408 = 8,851,408/x
  3. Step 3: Cross multiply
    4,097,449x = 8,851,408 × 8,851,408
  4. Step 4: Simplify right side
    4,097,449x = 78,347,423,582,464
  5. Step 5: Solve for x
    x = 78,347,423,582,464/4,097,449
  6. Step 6: Final answer
    x = 19,121,024.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.