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Finding the Third Proportional to 454,983,252.75 and 980,050,286.25

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Solution

The third proportional to 454,983,252.75 and 980,050,286.25 is: 2,111,063,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,983,252.75 : 980,050,286.25 = 980,050,286.25 : x
  2. Step 2: Convert to fraction form
    454,983,252.75/980,050,286.25 = 980,050,286.25/x
  3. Step 3: Cross multiply
    454,983,252.75x = 980,050,286.25 × 980,050,286.25
  4. Step 4: Simplify right side
    454,983,252.75x = 960,498,563,578,706,944
  5. Step 5: Solve for x
    x = 960,498,563,578,706,944/454,983,252.75
  6. Step 6: Final answer
    x = 2,111,063,556.24

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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.