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Finding the Third Proportional to 925,520,200.50 and 2,001,998,704.50

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Solution

The third proportional to 925,520,200.50 and 2,001,998,704.50 is: 4,330,536,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,520,200.50 : 2,001,998,704.50 = 2,001,998,704.50 : x
  2. Step 2: Convert to fraction form
    925,520,200.50/2,001,998,704.50 = 2,001,998,704.50/x
  3. Step 3: Cross multiply
    925,520,200.50x = 2,001,998,704.50 × 2,001,998,704.50
  4. Step 4: Simplify right side
    925,520,200.50x = 4,007,998,812,819,678,208
  5. Step 5: Solve for x
    x = 4,007,998,812,819,678,208/925,520,200.50
  6. Step 6: Final answer
    x = 4,330,536,287.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.