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Finding the Third Proportional to 18,256,825.50 and 38,550,832.50

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Solution

The third proportional to 18,256,825.50 and 38,550,832.50 is: 81,403,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,256,825.50 : 38,550,832.50 = 38,550,832.50 : x
  2. Step 2: Convert to fraction form
    18,256,825.50/38,550,832.50 = 38,550,832.50/x
  3. Step 3: Cross multiply
    18,256,825.50x = 38,550,832.50 × 38,550,832.50
  4. Step 4: Simplify right side
    18,256,825.50x = 1,486,166,686,443,056.25
  5. Step 5: Solve for x
    x = 1,486,166,686,443,056.25/18,256,825.50
  6. Step 6: Final answer
    x = 81,403,346.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.