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Finding the Third Proportional to 2,785,157,841 and 4,166,694,126

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Solution

The third proportional to 2,785,157,841 and 4,166,694,126 is: 6,233,521,017.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785,157,841 : 4,166,694,126 = 4,166,694,126 : x
  2. Step 2: Convert to fraction form
    2,785,157,841/4,166,694,126 = 4,166,694,126/x
  3. Step 3: Cross multiply
    2,785,157,841x = 4,166,694,126 × 4,166,694,126
  4. Step 4: Simplify right side
    2,785,157,841x = 17,361,339,939,642,904,576
  5. Step 5: Solve for x
    x = 17,361,339,939,642,904,576/2,785,157,841
  6. Step 6: Final answer
    x = 6,233,521,017.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.