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Finding the Third Proportional to 2,221,635,882 and 4,777,620,324

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Solution

The third proportional to 2,221,635,882 and 4,777,620,324 is: 10,274,256,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221,635,882 : 4,777,620,324 = 4,777,620,324 : x
  2. Step 2: Convert to fraction form
    2,221,635,882/4,777,620,324 = 4,777,620,324/x
  3. Step 3: Cross multiply
    2,221,635,882x = 4,777,620,324 × 4,777,620,324
  4. Step 4: Simplify right side
    2,221,635,882x = 22,825,655,960,297,865,216
  5. Step 5: Solve for x
    x = 22,825,655,960,297,865,216/2,221,635,882
  6. Step 6: Final answer
    x = 10,274,256,076.45

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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.