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Finding the Third Proportional to 384,313,295,007.55 and 800,435,974,453.90

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Solution

The third proportional to 384,313,295,007.55 and 800,435,974,453.90 is: 1,667,123,561,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,313,295,007.55 : 800,435,974,453.90 = 800,435,974,453.90 : x
  2. Step 2: Convert to fraction form
    384,313,295,007.55/800,435,974,453.90 = 800,435,974,453.90/x
  3. Step 3: Cross multiply
    384,313,295,007.55x = 800,435,974,453.90 × 800,435,974,453.90
  4. Step 4: Simplify right side
    384,313,295,007.55x = 640,697,749,199,964,549,939,200
  5. Step 5: Solve for x
    x = 640,697,749,199,964,549,939,200/384,313,295,007.55
  6. Step 6: Final answer
    x = 1,667,123,561,747.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.