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Finding the Third Proportional to 9,474,855,651 and 20,529,648,944

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Solution

The third proportional to 9,474,855,651 and 20,529,648,944 is: 44,482,628,684.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474,855,651 : 20,529,648,944 = 20,529,648,944 : x
  2. Step 2: Convert to fraction form
    9,474,855,651/20,529,648,944 = 20,529,648,944/x
  3. Step 3: Cross multiply
    9,474,855,651x = 20,529,648,944 × 20,529,648,944
  4. Step 4: Simplify right side
    9,474,855,651x = 421,466,485,763,880,321,024
  5. Step 5: Solve for x
    x = 421,466,485,763,880,321,024/9,474,855,651
  6. Step 6: Final answer
    x = 44,482,628,684.63

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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.