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Finding the Third Proportional to 446,942,448 and 962,191,620

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Solution

The third proportional to 446,942,448 and 962,191,620 is: 2,071,436,082.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,942,448 : 962,191,620 = 962,191,620 : x
  2. Step 2: Convert to fraction form
    446,942,448/962,191,620 = 962,191,620/x
  3. Step 3: Cross multiply
    446,942,448x = 962,191,620 × 962,191,620
  4. Step 4: Simplify right side
    446,942,448x = 925,812,713,598,224,384
  5. Step 5: Solve for x
    x = 925,812,713,598,224,384/446,942,448
  6. Step 6: Final answer
    x = 2,071,436,082.52

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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.