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Finding the Third Proportional to 36,825,813 and 55,392,468.75

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Solution

The third proportional to 36,825,813 and 55,392,468.75 is: 83,319,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,825,813 : 55,392,468.75 = 55,392,468.75 : x
  2. Step 2: Convert to fraction form
    36,825,813/55,392,468.75 = 55,392,468.75/x
  3. Step 3: Cross multiply
    36,825,813x = 55,392,468.75 × 55,392,468.75
  4. Step 4: Simplify right side
    36,825,813x = 3,068,325,594,219,726.50
  5. Step 5: Solve for x
    x = 3,068,325,594,219,726.50/36,825,813
  6. Step 6: Final answer
    x = 83,319,968.91

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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.