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Finding the Third Proportional to 310,902,024 and 664,850,764

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Solution

The third proportional to 310,902,024 and 664,850,764 is: 1,421,755,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,902,024 : 664,850,764 = 664,850,764 : x
  2. Step 2: Convert to fraction form
    310,902,024/664,850,764 = 664,850,764/x
  3. Step 3: Cross multiply
    310,902,024x = 664,850,764 × 664,850,764
  4. Step 4: Simplify right side
    310,902,024x = 442,026,538,391,383,680
  5. Step 5: Solve for x
    x = 442,026,538,391,383,680/310,902,024
  6. Step 6: Final answer
    x = 1,421,755,100.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.