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Finding the Third Proportional to 14,381,700.75 and 30,782,600.44

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Solution

The third proportional to 14,381,700.75 and 30,782,600.44 is: 65,887,095.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381,700.75 : 30,782,600.44 = 30,782,600.44 : x
  2. Step 2: Convert to fraction form
    14,381,700.75/30,782,600.44 = 30,782,600.44/x
  3. Step 3: Cross multiply
    14,381,700.75x = 30,782,600.44 × 30,782,600.44
  4. Step 4: Simplify right side
    14,381,700.75x = 947,568,489,694,775.25
  5. Step 5: Solve for x
    x = 947,568,489,694,775.25/14,381,700.75
  6. Step 6: Final answer
    x = 65,887,095.43

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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.