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Finding the Third Proportional to 36,825,838.31 and 55,392,505.88

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Solution

The third proportional to 36,825,838.31 and 55,392,505.88 is: 83,320,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,825,838.31 : 55,392,505.88 = 55,392,505.88 : x
  2. Step 2: Convert to fraction form
    36,825,838.31/55,392,505.88 = 55,392,505.88/x
  3. Step 3: Cross multiply
    36,825,838.31x = 55,392,505.88 × 55,392,505.88
  4. Step 4: Simplify right side
    36,825,838.31x = 3,068,329,707,111,909.50
  5. Step 5: Solve for x
    x = 3,068,329,707,111,909.50/36,825,838.31
  6. Step 6: Final answer
    x = 83,320,023.32

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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.