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Finding the Third Proportional to 462,664,992.38 and 1,001,507,568.75

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Solution

The third proportional to 462,664,992.38 and 1,001,507,568.75 is: 2,167,912,910.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,664,992.38 : 1,001,507,568.75 = 1,001,507,568.75 : x
  2. Step 2: Convert to fraction form
    462,664,992.38/1,001,507,568.75 = 1,001,507,568.75/x
  3. Step 3: Cross multiply
    462,664,992.38x = 1,001,507,568.75 × 1,001,507,568.75
  4. Step 4: Simplify right side
    462,664,992.38x = 1,003,017,410,263,536,000
  5. Step 5: Solve for x
    x = 1,003,017,410,263,536,000/462,664,992.38
  6. Step 6: Final answer
    x = 2,167,912,910.62

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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.