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Finding the Third Proportional to 12,208,980 and 19,434,309.75

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Solution

The third proportional to 12,208,980 and 19,434,309.75 is: 30,935,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,208,980 : 19,434,309.75 = 19,434,309.75 : x
  2. Step 2: Convert to fraction form
    12,208,980/19,434,309.75 = 19,434,309.75/x
  3. Step 3: Cross multiply
    12,208,980x = 19,434,309.75 × 19,434,309.75
  4. Step 4: Simplify right side
    12,208,980x = 377,692,395,458,945.06
  5. Step 5: Solve for x
    x = 377,692,395,458,945.06/12,208,980
  6. Step 6: Final answer
    x = 30,935,622.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.