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Finding the Third Proportional to 454,611,128.25 and 980,182,251.75

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Solution

The third proportional to 454,611,128.25 and 980,182,251.75 is: 2,113,360,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,611,128.25 : 980,182,251.75 = 980,182,251.75 : x
  2. Step 2: Convert to fraction form
    454,611,128.25/980,182,251.75 = 980,182,251.75/x
  3. Step 3: Cross multiply
    454,611,128.25x = 980,182,251.75 × 980,182,251.75
  4. Step 4: Simplify right side
    454,611,128.25x = 960,757,246,645,700,352
  5. Step 5: Solve for x
    x = 960,757,246,645,700,352/454,611,128.25
  6. Step 6: Final answer
    x = 2,113,360,599.74

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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.