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Finding the Third Proportional to 21,882,575.25 and 50,654,200.50

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Solution

The third proportional to 21,882,575.25 and 50,654,200.50 is: 117,255,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,882,575.25 : 50,654,200.50 = 50,654,200.50 : x
  2. Step 2: Convert to fraction form
    21,882,575.25/50,654,200.50 = 50,654,200.50/x
  3. Step 3: Cross multiply
    21,882,575.25x = 50,654,200.50 × 50,654,200.50
  4. Step 4: Simplify right side
    21,882,575.25x = 2,565,848,028,294,200
  5. Step 5: Solve for x
    x = 2,565,848,028,294,200/21,882,575.25
  6. Step 6: Final answer
    x = 117,255,304.69

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.