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Finding the Third Proportional to 2,308,651,642 and 4,944,198,609

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Solution

The third proportional to 2,308,651,642 and 4,944,198,609 is: 10,588,474,865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308,651,642 : 4,944,198,609 = 4,944,198,609 : x
  2. Step 2: Convert to fraction form
    2,308,651,642/4,944,198,609 = 4,944,198,609/x
  3. Step 3: Cross multiply
    2,308,651,642x = 4,944,198,609 × 4,944,198,609
  4. Step 4: Simplify right side
    2,308,651,642x = 24,445,099,885,237,534,720
  5. Step 5: Solve for x
    x = 24,445,099,885,237,534,720/2,308,651,642
  6. Step 6: Final answer
    x = 10,588,474,865.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.