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Finding the Third Proportional to 9,474,855,649 and 20,529,648,940

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Solution

The third proportional to 9,474,855,649 and 20,529,648,940 is: 44,482,628,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474,855,649 : 20,529,648,940 = 20,529,648,940 : x
  2. Step 2: Convert to fraction form
    9,474,855,649/20,529,648,940 = 20,529,648,940/x
  3. Step 3: Cross multiply
    9,474,855,649x = 20,529,648,940 × 20,529,648,940
  4. Step 4: Simplify right side
    9,474,855,649x = 421,466,485,599,643,107,328
  5. Step 5: Solve for x
    x = 421,466,485,599,643,107,328/9,474,855,649
  6. Step 6: Final answer
    x = 44,482,628,676.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.