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Finding the Third Proportional to 446,942,414.25 and 962,191,561.50

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Solution

The third proportional to 446,942,414.25 and 962,191,561.50 is: 2,071,435,987.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,942,414.25 : 962,191,561.50 = 962,191,561.50 : x
  2. Step 2: Convert to fraction form
    446,942,414.25/962,191,561.50 = 962,191,561.50/x
  3. Step 3: Cross multiply
    446,942,414.25x = 962,191,561.50 × 962,191,561.50
  4. Step 4: Simplify right side
    446,942,414.25x = 925,812,601,021,808,256
  5. Step 5: Solve for x
    x = 925,812,601,021,808,256/446,942,414.25
  6. Step 6: Final answer
    x = 2,071,435,987.06

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Why These Related Problems?

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