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Finding the Third Proportional to 3,209,973,158 and 4,520,349,561

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Solution

The third proportional to 3,209,973,158 and 4,520,349,561 is: 6,365,648,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,973,158 : 4,520,349,561 = 4,520,349,561 : x
  2. Step 2: Convert to fraction form
    3,209,973,158/4,520,349,561 = 4,520,349,561/x
  3. Step 3: Cross multiply
    3,209,973,158x = 4,520,349,561 × 4,520,349,561
  4. Step 4: Simplify right side
    3,209,973,158x = 20,433,560,153,632,890,880
  5. Step 5: Solve for x
    x = 20,433,560,153,632,890,880/3,209,973,158
  6. Step 6: Final answer
    x = 6,365,648,292.95

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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.