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Finding the Third Proportional to 12,629,844 and 17,596,512

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Solution

The third proportional to 12,629,844 and 17,596,512 is: 24,516,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,629,844 : 17,596,512 = 17,596,512 : x
  2. Step 2: Convert to fraction form
    12,629,844/17,596,512 = 17,596,512/x
  3. Step 3: Cross multiply
    12,629,844x = 17,596,512 × 17,596,512
  4. Step 4: Simplify right side
    12,629,844x = 309,637,234,566,144
  5. Step 5: Solve for x
    x = 309,637,234,566,144/12,629,844
  6. Step 6: Final answer
    x = 24,516,315.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.