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Finding the Third Proportional to 2,221,634,751 and 4,777,618,062

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Solution

The third proportional to 2,221,634,751 and 4,777,618,062 is: 10,274,251,578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221,634,751 : 4,777,618,062 = 4,777,618,062 : x
  2. Step 2: Convert to fraction form
    2,221,634,751/4,777,618,062 = 4,777,618,062/x
  3. Step 3: Cross multiply
    2,221,634,751x = 4,777,618,062 × 4,777,618,062
  4. Step 4: Simplify right side
    2,221,634,751x = 22,825,634,346,348,634,112
  5. Step 5: Solve for x
    x = 22,825,634,346,348,634,112/2,221,634,751
  6. Step 6: Final answer
    x = 10,274,251,578.07

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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.