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Finding the Third Proportional to 1,288,085,204 and 2,829,217,000

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Solution

The third proportional to 1,288,085,204 and 2,829,217,000 is: 6,214,238,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,085,204 : 2,829,217,000 = 2,829,217,000 : x
  2. Step 2: Convert to fraction form
    1,288,085,204/2,829,217,000 = 2,829,217,000/x
  3. Step 3: Cross multiply
    1,288,085,204x = 2,829,217,000 × 2,829,217,000
  4. Step 4: Simplify right side
    1,288,085,204x = 8,004,468,833,089,000,448
  5. Step 5: Solve for x
    x = 8,004,468,833,089,000,448/1,288,085,204
  6. Step 6: Final answer
    x = 6,214,238,629.74

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.