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Finding the Third Proportional to 12,770,055 and 19,827,944.44

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Solution

The third proportional to 12,770,055 and 19,827,944.44 is: 30,786,663.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770,055 : 19,827,944.44 = 19,827,944.44 : x
  2. Step 2: Convert to fraction form
    12,770,055/19,827,944.44 = 19,827,944.44/x
  3. Step 3: Cross multiply
    12,770,055x = 19,827,944.44 × 19,827,944.44
  4. Step 4: Simplify right side
    12,770,055x = 393,147,380,616,587.19
  5. Step 5: Solve for x
    x = 393,147,380,616,587.19/12,770,055
  6. Step 6: Final answer
    x = 30,786,663.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.