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Finding the Third Proportional to 33,858,653.50 and 51,580,160

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Solution

The third proportional to 33,858,653.50 and 51,580,160 is: 78,577,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,858,653.50 : 51,580,160 = 51,580,160 : x
  2. Step 2: Convert to fraction form
    33,858,653.50/51,580,160 = 51,580,160/x
  3. Step 3: Cross multiply
    33,858,653.50x = 51,580,160 × 51,580,160
  4. Step 4: Simplify right side
    33,858,653.50x = 2,660,512,905,625,600
  5. Step 5: Solve for x
    x = 2,660,512,905,625,600/33,858,653.50
  6. Step 6: Final answer
    x = 78,577,043.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.