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Finding the Third Proportional to 3,099,770,714 and 4,786,686,944

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Solution

The third proportional to 3,099,770,714 and 4,786,686,944 is: 7,391,634,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099,770,714 : 4,786,686,944 = 4,786,686,944 : x
  2. Step 2: Convert to fraction form
    3,099,770,714/4,786,686,944 = 4,786,686,944/x
  3. Step 3: Cross multiply
    3,099,770,714x = 4,786,686,944 × 4,786,686,944
  4. Step 4: Simplify right side
    3,099,770,714x = 22,912,371,899,860,058,112
  5. Step 5: Solve for x
    x = 22,912,371,899,860,058,112/3,099,770,714
  6. Step 6: Final answer
    x = 7,391,634,418.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.