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Finding the Third Proportional to 957,222,908 and 2,082,161,176

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Solution

The third proportional to 957,222,908 and 2,082,161,176 is: 4,529,138,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,222,908 : 2,082,161,176 = 2,082,161,176 : x
  2. Step 2: Convert to fraction form
    957,222,908/2,082,161,176 = 2,082,161,176/x
  3. Step 3: Cross multiply
    957,222,908x = 2,082,161,176 × 2,082,161,176
  4. Step 4: Simplify right side
    957,222,908x = 4,335,395,162,841,702,912
  5. Step 5: Solve for x
    x = 4,335,395,162,841,702,912/957,222,908
  6. Step 6: Final answer
    x = 4,529,138,538.80

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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.