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Finding the Third Proportional to 3,209,973,156 and 4,520,349,558

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Solution

The third proportional to 3,209,973,156 and 4,520,349,558 is: 6,365,648,288.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,973,156 : 4,520,349,558 = 4,520,349,558 : x
  2. Step 2: Convert to fraction form
    3,209,973,156/4,520,349,558 = 4,520,349,558/x
  3. Step 3: Cross multiply
    3,209,973,156x = 4,520,349,558 × 4,520,349,558
  4. Step 4: Simplify right side
    3,209,973,156x = 20,433,560,126,510,796,800
  5. Step 5: Solve for x
    x = 20,433,560,126,510,796,800/3,209,973,156
  6. Step 6: Final answer
    x = 6,365,648,288.47

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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.