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Finding the Third Proportional to 684,001,188 and 1,435,187,016

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Solution

The third proportional to 684,001,188 and 1,435,187,016 is: 3,011,342,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,001,188 : 1,435,187,016 = 1,435,187,016 : x
  2. Step 2: Convert to fraction form
    684,001,188/1,435,187,016 = 1,435,187,016/x
  3. Step 3: Cross multiply
    684,001,188x = 1,435,187,016 × 1,435,187,016
  4. Step 4: Simplify right side
    684,001,188x = 2,059,761,770,894,984,192
  5. Step 5: Solve for x
    x = 2,059,761,770,894,984,192/684,001,188
  6. Step 6: Final answer
    x = 3,011,342,388.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.