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Finding the Third Proportional to 63,599,296 and 137,270,456

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Solution

The third proportional to 63,599,296 and 137,270,456 is: 296,279,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,599,296 : 137,270,456 = 137,270,456 : x
  2. Step 2: Convert to fraction form
    63,599,296/137,270,456 = 137,270,456/x
  3. Step 3: Cross multiply
    63,599,296x = 137,270,456 × 137,270,456
  4. Step 4: Simplify right side
    63,599,296x = 18,843,178,090,447,936
  5. Step 5: Solve for x
    x = 18,843,178,090,447,936/63,599,296
  6. Step 6: Final answer
    x = 296,279,664.64

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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.