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Finding the Third Proportional to 647,764,530 and 1,398,744,766.50

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Solution

The third proportional to 647,764,530 and 1,398,744,766.50 is: 3,020,367,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,764,530 : 1,398,744,766.50 = 1,398,744,766.50 : x
  2. Step 2: Convert to fraction form
    647,764,530/1,398,744,766.50 = 1,398,744,766.50/x
  3. Step 3: Cross multiply
    647,764,530x = 1,398,744,766.50 × 1,398,744,766.50
  4. Step 4: Simplify right side
    647,764,530x = 1,956,486,921,811,139,584
  5. Step 5: Solve for x
    x = 1,956,486,921,811,139,584/647,764,530
  6. Step 6: Final answer
    x = 3,020,367,481.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.