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Finding the Third Proportional to 3,209,973,165 and 4,520,349,571.50

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Solution

The third proportional to 3,209,973,165 and 4,520,349,571.50 is: 6,365,648,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,973,165 : 4,520,349,571.50 = 4,520,349,571.50 : x
  2. Step 2: Convert to fraction form
    3,209,973,165/4,520,349,571.50 = 4,520,349,571.50/x
  3. Step 3: Cross multiply
    3,209,973,165x = 4,520,349,571.50 × 4,520,349,571.50
  4. Step 4: Simplify right side
    3,209,973,165x = 20,433,560,248,560,234,496
  5. Step 5: Solve for x
    x = 20,433,560,248,560,234,496/3,209,973,165
  6. Step 6: Final answer
    x = 6,365,648,308.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.