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Finding the Third Proportional to 55,452,144 and 123,654,456

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Solution

The third proportional to 55,452,144 and 123,654,456 is: 275,740,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,452,144 : 123,654,456 = 123,654,456 : x
  2. Step 2: Convert to fraction form
    55,452,144/123,654,456 = 123,654,456/x
  3. Step 3: Cross multiply
    55,452,144x = 123,654,456 × 123,654,456
  4. Step 4: Simplify right side
    55,452,144x = 15,290,424,488,655,936
  5. Step 5: Solve for x
    x = 15,290,424,488,655,936/55,452,144
  6. Step 6: Final answer
    x = 275,740,907.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.