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Finding the Third Proportional to 283,751,100 and 427,656,225

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Solution

The third proportional to 283,751,100 and 427,656,225 is: 644,543,216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,751,100 : 427,656,225 = 427,656,225 : x
  2. Step 2: Convert to fraction form
    283,751,100/427,656,225 = 427,656,225/x
  3. Step 3: Cross multiply
    283,751,100x = 427,656,225 × 427,656,225
  4. Step 4: Simplify right side
    283,751,100x = 182,889,846,781,250,624
  5. Step 5: Solve for x
    x = 182,889,846,781,250,624/283,751,100
  6. Step 6: Final answer
    x = 644,543,216.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.