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Finding the Third Proportional to 299,666,214,698 and 615,218,608,419

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Solution

The third proportional to 299,666,214,698 and 615,218,608,419 is: 1,263,051,747,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,666,214,698 : 615,218,608,419 = 615,218,608,419 : x
  2. Step 2: Convert to fraction form
    299,666,214,698/615,218,608,419 = 615,218,608,419/x
  3. Step 3: Cross multiply
    299,666,214,698x = 615,218,608,419 × 615,218,608,419
  4. Step 4: Simplify right side
    299,666,214,698x = 378,493,936,145,010,886,967,296
  5. Step 5: Solve for x
    x = 378,493,936,145,010,886,967,296/299,666,214,698
  6. Step 6: Final answer
    x = 1,263,051,747,513.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.