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Finding the Third Proportional to 807,693,214.13 and 1,728,848,127

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Solution

The third proportional to 807,693,214.13 and 1,728,848,127 is: 3,700,558,323.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,693,214.13 : 1,728,848,127 = 1,728,848,127 : x
  2. Step 2: Convert to fraction form
    807,693,214.13/1,728,848,127 = 1,728,848,127/x
  3. Step 3: Cross multiply
    807,693,214.13x = 1,728,848,127 × 1,728,848,127
  4. Step 4: Simplify right side
    807,693,214.13x = 2,988,915,846,231,408,128
  5. Step 5: Solve for x
    x = 2,988,915,846,231,408,128/807,693,214.13
  6. Step 6: Final answer
    x = 3,700,558,323.33

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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.