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Finding the Third Proportional to 11,432,247,298 and 24,764,180,265

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Solution

The third proportional to 11,432,247,298 and 24,764,180,265 is: 53,643,400,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432,247,298 : 24,764,180,265 = 24,764,180,265 : x
  2. Step 2: Convert to fraction form
    11,432,247,298/24,764,180,265 = 24,764,180,265/x
  3. Step 3: Cross multiply
    11,432,247,298x = 24,764,180,265 × 24,764,180,265
  4. Step 4: Simplify right side
    11,432,247,298x = 613,264,624,197,415,469,056
  5. Step 5: Solve for x
    x = 613,264,624,197,415,469,056/11,432,247,298
  6. Step 6: Final answer
    x = 53,643,400,830.27

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Why These Related Problems?

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