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Finding the Third Proportional to 11,420,478 and 24,722,748

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Solution

The third proportional to 11,420,478 and 24,722,748 is: 53,519,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,420,478 : 24,722,748 = 24,722,748 : x
  2. Step 2: Convert to fraction form
    11,420,478/24,722,748 = 24,722,748/x
  3. Step 3: Cross multiply
    11,420,478x = 24,722,748 × 24,722,748
  4. Step 4: Simplify right side
    11,420,478x = 611,214,268,671,504
  5. Step 5: Solve for x
    x = 611,214,268,671,504/11,420,478
  6. Step 6: Final answer
    x = 53,519,149.43

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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.