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Finding the Third Proportional to 811,373,064.75 and 1,212,283,280.25

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Solution

The third proportional to 811,373,064.75 and 1,212,283,280.25 is: 1,811,288,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,373,064.75 : 1,212,283,280.25 = 1,212,283,280.25 : x
  2. Step 2: Convert to fraction form
    811,373,064.75/1,212,283,280.25 = 1,212,283,280.25/x
  3. Step 3: Cross multiply
    811,373,064.75x = 1,212,283,280.25 × 1,212,283,280.25
  4. Step 4: Simplify right side
    811,373,064.75x = 1,469,630,751,573,700,096
  5. Step 5: Solve for x
    x = 1,469,630,751,573,700,096/811,373,064.75
  6. Step 6: Final answer
    x = 1,811,288,561.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.