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Finding the Third Proportional to 460,003,096 and 997,620,400

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Solution

The third proportional to 460,003,096 and 997,620,400 is: 2,163,564,704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,003,096 : 997,620,400 = 997,620,400 : x
  2. Step 2: Convert to fraction form
    460,003,096/997,620,400 = 997,620,400/x
  3. Step 3: Cross multiply
    460,003,096x = 997,620,400 × 997,620,400
  4. Step 4: Simplify right side
    460,003,096x = 995,246,462,496,160,000
  5. Step 5: Solve for x
    x = 995,246,462,496,160,000/460,003,096
  6. Step 6: Final answer
    x = 2,163,564,704.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.