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Finding the Third Proportional to 463,040,554 and 964,187,396

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Solution

The third proportional to 463,040,554 and 964,187,396 is: 2,007,723,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,040,554 : 964,187,396 = 964,187,396 : x
  2. Step 2: Convert to fraction form
    463,040,554/964,187,396 = 964,187,396/x
  3. Step 3: Cross multiply
    463,040,554x = 964,187,396 × 964,187,396
  4. Step 4: Simplify right side
    463,040,554x = 929,657,334,605,260,800
  5. Step 5: Solve for x
    x = 929,657,334,605,260,800/463,040,554
  6. Step 6: Final answer
    x = 2,007,723,355.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.