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Finding the Third Proportional to 994,904,202 and 2,129,568,774

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Solution

The third proportional to 994,904,202 and 2,129,568,774 is: 4,558,291,294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    994,904,202 : 2,129,568,774 = 2,129,568,774 : x
  2. Step 2: Convert to fraction form
    994,904,202/2,129,568,774 = 2,129,568,774/x
  3. Step 3: Cross multiply
    994,904,202x = 2,129,568,774 × 2,129,568,774
  4. Step 4: Simplify right side
    994,904,202x = 4,535,063,163,195,863,040
  5. Step 5: Solve for x
    x = 4,535,063,163,195,863,040/994,904,202
  6. Step 6: Final answer
    x = 4,558,291,294.86

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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.