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Finding the Third Proportional to 302,922,096 and 663,505,536

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Solution

The third proportional to 302,922,096 and 663,505,536 is: 1,453,309,620.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,922,096 : 663,505,536 = 663,505,536 : x
  2. Step 2: Convert to fraction form
    302,922,096/663,505,536 = 663,505,536/x
  3. Step 3: Cross multiply
    302,922,096x = 663,505,536 × 663,505,536
  4. Step 4: Simplify right side
    302,922,096x = 440,239,596,302,647,296
  5. Step 5: Solve for x
    x = 440,239,596,302,647,296/302,922,096
  6. Step 6: Final answer
    x = 1,453,309,620.25

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.