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Finding the Third Proportional to 1,996,273,188 and 4,451,553,288

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Solution

The third proportional to 1,996,273,188 and 4,451,553,288 is: 9,926,660,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,273,188 : 4,451,553,288 = 4,451,553,288 : x
  2. Step 2: Convert to fraction form
    1,996,273,188/4,451,553,288 = 4,451,553,288/x
  3. Step 3: Cross multiply
    1,996,273,188x = 4,451,553,288 × 4,451,553,288
  4. Step 4: Simplify right side
    1,996,273,188x = 19,816,326,675,903,610,880
  5. Step 5: Solve for x
    x = 19,816,326,675,903,610,880/1,996,273,188
  6. Step 6: Final answer
    x = 9,926,660,737.13

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.