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Finding the Third Proportional to 1,819,390,978 and 2,794,807,108

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Solution

The third proportional to 1,819,390,978 and 2,794,807,108 is: 4,293,165,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819,390,978 : 2,794,807,108 = 2,794,807,108 : x
  2. Step 2: Convert to fraction form
    1,819,390,978/2,794,807,108 = 2,794,807,108/x
  3. Step 3: Cross multiply
    1,819,390,978x = 2,794,807,108 × 2,794,807,108
  4. Step 4: Simplify right side
    1,819,390,978x = 7,810,946,770,927,324,160
  5. Step 5: Solve for x
    x = 7,810,946,770,927,324,160/1,819,390,978
  6. Step 6: Final answer
    x = 4,293,165,606.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.