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Finding the Third Proportional to 36,582,350 and 78,023,260

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Solution

The third proportional to 36,582,350 and 78,023,260 is: 166,408,913.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,582,350 : 78,023,260 = 78,023,260 : x
  2. Step 2: Convert to fraction form
    36,582,350/78,023,260 = 78,023,260/x
  3. Step 3: Cross multiply
    36,582,350x = 78,023,260 × 78,023,260
  4. Step 4: Simplify right side
    36,582,350x = 6,087,629,101,027,600
  5. Step 5: Solve for x
    x = 6,087,629,101,027,600/36,582,350
  6. Step 6: Final answer
    x = 166,408,913.07

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.