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Finding the Third Proportional to 14,017,380 and 20,493,899.50

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Solution

The third proportional to 14,017,380 and 20,493,899.50 is: 29,962,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017,380 : 20,493,899.50 = 20,493,899.50 : x
  2. Step 2: Convert to fraction form
    14,017,380/20,493,899.50 = 20,493,899.50/x
  3. Step 3: Cross multiply
    14,017,380x = 20,493,899.50 × 20,493,899.50
  4. Step 4: Simplify right side
    14,017,380x = 419,999,916,716,100.25
  5. Step 5: Solve for x
    x = 419,999,916,716,100.25/14,017,380
  6. Step 6: Final answer
    x = 29,962,797.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.