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Finding the Third Proportional to 17,724,773.50 and 38,474,594

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Solution

The third proportional to 17,724,773.50 and 38,474,594 is: 83,515,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724,773.50 : 38,474,594 = 38,474,594 : x
  2. Step 2: Convert to fraction form
    17,724,773.50/38,474,594 = 38,474,594/x
  3. Step 3: Cross multiply
    17,724,773.50x = 38,474,594 × 38,474,594
  4. Step 4: Simplify right side
    17,724,773.50x = 1,480,294,383,464,836
  5. Step 5: Solve for x
    x = 1,480,294,383,464,836/17,724,773.50
  6. Step 6: Final answer
    x = 83,515,559.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.