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Finding the Third Proportional to 329,726,055 and 510,083,977.50

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Solution

The third proportional to 329,726,055 and 510,083,977.50 is: 789,096,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,726,055 : 510,083,977.50 = 510,083,977.50 : x
  2. Step 2: Convert to fraction form
    329,726,055/510,083,977.50 = 510,083,977.50/x
  3. Step 3: Cross multiply
    329,726,055x = 510,083,977.50 × 510,083,977.50
  4. Step 4: Simplify right side
    329,726,055x = 260,185,664,102,220,512
  5. Step 5: Solve for x
    x = 260,185,664,102,220,512/329,726,055
  6. Step 6: Final answer
    x = 789,096,464.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.