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Finding the Third Proportional to 3,654,512,961 and 5,415,403,098

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Solution

The third proportional to 3,654,512,961 and 5,415,403,098 is: 8,024,760,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654,512,961 : 5,415,403,098 = 5,415,403,098 : x
  2. Step 2: Convert to fraction form
    3,654,512,961/5,415,403,098 = 5,415,403,098/x
  3. Step 3: Cross multiply
    3,654,512,961x = 5,415,403,098 × 5,415,403,098
  4. Step 4: Simplify right side
    3,654,512,961x = 29,326,590,713,827,995,648
  5. Step 5: Solve for x
    x = 29,326,590,713,827,995,648/3,654,512,961
  6. Step 6: Final answer
    x = 8,024,760,351.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.