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Finding the Third Proportional to 447,245,679.65 and 983,212,174.25

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Solution

The third proportional to 447,245,679.65 and 983,212,174.25 is: 2,161,465,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,245,679.65 : 983,212,174.25 = 983,212,174.25 : x
  2. Step 2: Convert to fraction form
    447,245,679.65/983,212,174.25 = 983,212,174.25/x
  3. Step 3: Cross multiply
    447,245,679.65x = 983,212,174.25 × 983,212,174.25
  4. Step 4: Simplify right side
    447,245,679.65x = 966,706,179,589,518,976
  5. Step 5: Solve for x
    x = 966,706,179,589,518,976/447,245,679.65
  6. Step 6: Final answer
    x = 2,161,465,663.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.