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Finding the Third Proportional to 12,757,876 and 19,202,426

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Solution

The third proportional to 12,757,876 and 19,202,426 is: 28,902,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,757,876 : 19,202,426 = 19,202,426 : x
  2. Step 2: Convert to fraction form
    12,757,876/19,202,426 = 19,202,426/x
  3. Step 3: Cross multiply
    12,757,876x = 19,202,426 × 19,202,426
  4. Step 4: Simplify right side
    12,757,876x = 368,733,164,285,476
  5. Step 5: Solve for x
    x = 368,733,164,285,476/12,757,876
  6. Step 6: Final answer
    x = 28,902,394.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.