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Finding the Third Proportional to 923,747,223 and 2,010,111,018

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Solution

The third proportional to 923,747,223 and 2,010,111,018 is: 4,374,082,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,747,223 : 2,010,111,018 = 2,010,111,018 : x
  2. Step 2: Convert to fraction form
    923,747,223/2,010,111,018 = 2,010,111,018/x
  3. Step 3: Cross multiply
    923,747,223x = 2,010,111,018 × 2,010,111,018
  4. Step 4: Simplify right side
    923,747,223x = 4,040,546,304,684,996,096
  5. Step 5: Solve for x
    x = 4,040,546,304,684,996,096/923,747,223
  6. Step 6: Final answer
    x = 4,374,082,220.85

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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.