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Finding the Third Proportional to 17,089,477 and 24,420,468

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Solution

The third proportional to 17,089,477 and 24,420,468 is: 34,896,284.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089,477 : 24,420,468 = 24,420,468 : x
  2. Step 2: Convert to fraction form
    17,089,477/24,420,468 = 24,420,468/x
  3. Step 3: Cross multiply
    17,089,477x = 24,420,468 × 24,420,468
  4. Step 4: Simplify right side
    17,089,477x = 596,359,257,339,024
  5. Step 5: Solve for x
    x = 596,359,257,339,024/17,089,477
  6. Step 6: Final answer
    x = 34,896,284.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.