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Finding the Third Proportional to 11,626,178 and 27,155,367

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Solution

The third proportional to 11,626,178 and 27,155,367 is: 63,427,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626,178 : 27,155,367 = 27,155,367 : x
  2. Step 2: Convert to fraction form
    11,626,178/27,155,367 = 27,155,367/x
  3. Step 3: Cross multiply
    11,626,178x = 27,155,367 × 27,155,367
  4. Step 4: Simplify right side
    11,626,178x = 737,413,956,904,689
  5. Step 5: Solve for x
    x = 737,413,956,904,689/11,626,178
  6. Step 6: Final answer
    x = 63,427,031.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.