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Finding the Third Proportional to 454,611,171 and 980,182,338

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Solution

The third proportional to 454,611,171 and 980,182,338 is: 2,113,360,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,611,171 : 980,182,338 = 980,182,338 : x
  2. Step 2: Convert to fraction form
    454,611,171/980,182,338 = 980,182,338/x
  3. Step 3: Cross multiply
    454,611,171x = 980,182,338 × 980,182,338
  4. Step 4: Simplify right side
    454,611,171x = 960,757,415,727,146,240
  5. Step 5: Solve for x
    x = 960,757,415,727,146,240/454,611,171
  6. Step 6: Final answer
    x = 2,113,360,772.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.