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Finding the Third Proportional to 36,825,821 and 55,392,480

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Solution

The third proportional to 36,825,821 and 55,392,480 is: 83,319,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,825,821 : 55,392,480 = 55,392,480 : x
  2. Step 2: Convert to fraction form
    36,825,821/55,392,480 = 55,392,480/x
  3. Step 3: Cross multiply
    36,825,821x = 55,392,480 × 55,392,480
  4. Step 4: Simplify right side
    36,825,821x = 3,068,326,840,550,400
  5. Step 5: Solve for x
    x = 3,068,326,840,550,400/36,825,821
  6. Step 6: Final answer
    x = 83,319,984.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.