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Finding the Third Proportional to 30,302,190 and 64,858,824

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Solution

The third proportional to 30,302,190 and 64,858,824 is: 138,823,862.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,302,190 : 64,858,824 = 64,858,824 : x
  2. Step 2: Convert to fraction form
    30,302,190/64,858,824 = 64,858,824/x
  3. Step 3: Cross multiply
    30,302,190x = 64,858,824 × 64,858,824
  4. Step 4: Simplify right side
    30,302,190x = 4,206,667,050,662,976
  5. Step 5: Solve for x
    x = 4,206,667,050,662,976/30,302,190
  6. Step 6: Final answer
    x = 138,823,862.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.