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Finding the Third Proportional to 13,627,059 and 20,945,770.50

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Solution

The third proportional to 13,627,059 and 20,945,770.50 is: 32,195,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627,059 : 20,945,770.50 = 20,945,770.50 : x
  2. Step 2: Convert to fraction form
    13,627,059/20,945,770.50 = 20,945,770.50/x
  3. Step 3: Cross multiply
    13,627,059x = 20,945,770.50 × 20,945,770.50
  4. Step 4: Simplify right side
    13,627,059x = 438,725,301,838,670.25
  5. Step 5: Solve for x
    x = 438,725,301,838,670.25/13,627,059
  6. Step 6: Final answer
    x = 32,195,156.84

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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.