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Finding the Third Proportional to 318,921,052 and 484,832,742

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Solution

The third proportional to 318,921,052 and 484,832,742 is: 737,056,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,921,052 : 484,832,742 = 484,832,742 : x
  2. Step 2: Convert to fraction form
    318,921,052/484,832,742 = 484,832,742/x
  3. Step 3: Cross multiply
    318,921,052x = 484,832,742 × 484,832,742
  4. Step 4: Simplify right side
    318,921,052x = 235,062,787,715,238,560
  5. Step 5: Solve for x
    x = 235,062,787,715,238,560/318,921,052
  6. Step 6: Final answer
    x = 737,056,353.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.