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Finding the Third Proportional to 446,068,474.25 and 966,259,724.50

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Solution

The third proportional to 446,068,474.25 and 966,259,724.50 is: 2,093,081,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,068,474.25 : 966,259,724.50 = 966,259,724.50 : x
  2. Step 2: Convert to fraction form
    446,068,474.25/966,259,724.50 = 966,259,724.50/x
  3. Step 3: Cross multiply
    446,068,474.25x = 966,259,724.50 × 966,259,724.50
  4. Step 4: Simplify right side
    446,068,474.25x = 933,657,855,190,815,872
  5. Step 5: Solve for x
    x = 933,657,855,190,815,872/446,068,474.25
  6. Step 6: Final answer
    x = 2,093,081,912.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.