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Finding the Third Proportional to 957,222,902 and 2,082,161,164

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Solution

The third proportional to 957,222,902 and 2,082,161,164 is: 4,529,138,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,222,902 : 2,082,161,164 = 2,082,161,164 : x
  2. Step 2: Convert to fraction form
    957,222,902/2,082,161,164 = 2,082,161,164/x
  3. Step 3: Cross multiply
    957,222,902x = 2,082,161,164 × 2,082,161,164
  4. Step 4: Simplify right side
    957,222,902x = 4,335,395,112,869,834,752
  5. Step 5: Solve for x
    x = 4,335,395,112,869,834,752/957,222,902
  6. Step 6: Final answer
    x = 4,529,138,514.98

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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.