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Finding the Third Proportional to 447,617,761.50 and 963,259,991.25

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Solution

The third proportional to 447,617,761.50 and 963,259,991.25 is: 2,072,906,596.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,617,761.50 : 963,259,991.25 = 963,259,991.25 : x
  2. Step 2: Convert to fraction form
    447,617,761.50/963,259,991.25 = 963,259,991.25/x
  3. Step 3: Cross multiply
    447,617,761.50x = 963,259,991.25 × 963,259,991.25
  4. Step 4: Simplify right side
    447,617,761.50x = 927,869,810,742,950,016
  5. Step 5: Solve for x
    x = 927,869,810,742,950,016/447,617,761.50
  6. Step 6: Final answer
    x = 2,072,906,596.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.