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Finding the Third Proportional to 957,222,900 and 2,082,161,160

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Solution

The third proportional to 957,222,900 and 2,082,161,160 is: 4,529,138,507.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,222,900 : 2,082,161,160 = 2,082,161,160 : x
  2. Step 2: Convert to fraction form
    957,222,900/2,082,161,160 = 2,082,161,160/x
  3. Step 3: Cross multiply
    957,222,900x = 2,082,161,160 × 2,082,161,160
  4. Step 4: Simplify right side
    957,222,900x = 4,335,395,096,212,545,536
  5. Step 5: Solve for x
    x = 4,335,395,096,212,545,536/957,222,900
  6. Step 6: Final answer
    x = 4,529,138,507.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.