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Finding the Third Proportional to 807,693,216.19 and 1,728,848,134.13

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Solution

The third proportional to 807,693,216.19 and 1,728,848,134.13 is: 3,700,558,344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,693,216.19 : 1,728,848,134.13 = 1,728,848,134.13 : x
  2. Step 2: Convert to fraction form
    807,693,216.19/1,728,848,134.13 = 1,728,848,134.13/x
  3. Step 3: Cross multiply
    807,693,216.19x = 1,728,848,134.13 × 1,728,848,134.13
  4. Step 4: Simplify right side
    807,693,216.19x = 2,988,915,870,867,493,888
  5. Step 5: Solve for x
    x = 2,988,915,870,867,493,888/807,693,216.19
  6. Step 6: Final answer
    x = 3,700,558,344.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.