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Finding the Third Proportional to 3,270,417,676 and 4,904,425,360

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Solution

The third proportional to 3,270,417,676 and 4,904,425,360 is: 7,354,836,750.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270,417,676 : 4,904,425,360 = 4,904,425,360 : x
  2. Step 2: Convert to fraction form
    3,270,417,676/4,904,425,360 = 4,904,425,360/x
  3. Step 3: Cross multiply
    3,270,417,676x = 4,904,425,360 × 4,904,425,360
  4. Step 4: Simplify right side
    3,270,417,676x = 24,053,388,111,811,129,344
  5. Step 5: Solve for x
    x = 24,053,388,111,811,129,344/3,270,417,676
  6. Step 6: Final answer
    x = 7,354,836,750.16

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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.