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Finding the Third Proportional to 212,383,024 and 463,370,971

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Solution

The third proportional to 212,383,024 and 463,370,971 is: 1,010,969,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,383,024 : 463,370,971 = 463,370,971 : x
  2. Step 2: Convert to fraction form
    212,383,024/463,370,971 = 463,370,971/x
  3. Step 3: Cross multiply
    212,383,024x = 463,370,971 × 463,370,971
  4. Step 4: Simplify right side
    212,383,024x = 214,712,656,765,482,848
  5. Step 5: Solve for x
    x = 214,712,656,765,482,848/212,383,024
  6. Step 6: Final answer
    x = 1,010,969,015.89

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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.