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Finding the Third Proportional to 12,963,296 and 27,936,323

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Solution

The third proportional to 12,963,296 and 27,936,323 is: 60,203,681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963,296 : 27,936,323 = 27,936,323 : x
  2. Step 2: Convert to fraction form
    12,963,296/27,936,323 = 27,936,323/x
  3. Step 3: Cross multiply
    12,963,296x = 27,936,323 × 27,936,323
  4. Step 4: Simplify right side
    12,963,296x = 780,438,142,760,329
  5. Step 5: Solve for x
    x = 780,438,142,760,329/12,963,296
  6. Step 6: Final answer
    x = 60,203,681.44

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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.