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Finding the Third Proportional to 3,209,973,172 and 4,520,349,581

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Solution

The third proportional to 3,209,973,172 and 4,520,349,581 is: 6,365,648,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,973,172 : 4,520,349,581 = 4,520,349,581 : x
  2. Step 2: Convert to fraction form
    3,209,973,172/4,520,349,581 = 4,520,349,581/x
  3. Step 3: Cross multiply
    3,209,973,172x = 4,520,349,581 × 4,520,349,581
  4. Step 4: Simplify right side
    3,209,973,172x = 20,433,560,334,446,874,624
  5. Step 5: Solve for x
    x = 20,433,560,334,446,874,624/3,209,973,172
  6. Step 6: Final answer
    x = 6,365,648,321.51

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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.