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Finding the Third Proportional to 12,768,241 and 19,284,773

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Solution

The third proportional to 12,768,241 and 19,284,773 is: 29,127,149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768,241 : 19,284,773 = 19,284,773 : x
  2. Step 2: Convert to fraction form
    12,768,241/19,284,773 = 19,284,773/x
  3. Step 3: Cross multiply
    12,768,241x = 19,284,773 × 19,284,773
  4. Step 4: Simplify right side
    12,768,241x = 371,902,469,661,529
  5. Step 5: Solve for x
    x = 371,902,469,661,529/12,768,241
  6. Step 6: Final answer
    x = 29,127,149.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.