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Finding the Third Proportional to 55,452,037 and 123,654,243

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Solution

The third proportional to 55,452,037 and 123,654,243 is: 275,740,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,452,037 : 123,654,243 = 123,654,243 : x
  2. Step 2: Convert to fraction form
    55,452,037/123,654,243 = 123,654,243/x
  3. Step 3: Cross multiply
    55,452,037x = 123,654,243 × 123,654,243
  4. Step 4: Simplify right side
    55,452,037x = 15,290,371,811,903,048
  5. Step 5: Solve for x
    x = 15,290,371,811,903,048/55,452,037
  6. Step 6: Final answer
    x = 275,740,489.24

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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.