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Finding the Third Proportional to 55,193,546 and 120,051,424

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Solution

The third proportional to 55,193,546 and 120,051,424 is: 261,123,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,193,546 : 120,051,424 = 120,051,424 : x
  2. Step 2: Convert to fraction form
    55,193,546/120,051,424 = 120,051,424/x
  3. Step 3: Cross multiply
    55,193,546x = 120,051,424 × 120,051,424
  4. Step 4: Simplify right side
    55,193,546x = 14,412,344,404,427,776
  5. Step 5: Solve for x
    x = 14,412,344,404,427,776/55,193,546
  6. Step 6: Final answer
    x = 261,123,726.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.