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Finding the Third Proportional to 984,613,917.38 and 2,149,163,715.38

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Solution

The third proportional to 984,613,917.38 and 2,149,163,715.38 is: 4,691,082,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,613,917.38 : 2,149,163,715.38 = 2,149,163,715.38 : x
  2. Step 2: Convert to fraction form
    984,613,917.38/2,149,163,715.38 = 2,149,163,715.38/x
  3. Step 3: Cross multiply
    984,613,917.38x = 2,149,163,715.38 × 2,149,163,715.38
  4. Step 4: Simplify right side
    984,613,917.38x = 4,618,904,675,484,474,368
  5. Step 5: Solve for x
    x = 4,618,904,675,484,474,368/984,613,917.38
  6. Step 6: Final answer
    x = 4,691,082,051.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.