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Finding the Third Proportional to 2,129,399,229.69 and 4,929,173,657.65

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Solution

The third proportional to 2,129,399,229.69 and 4,929,173,657.65 is: 11,410,144,517.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129,399,229.69 : 4,929,173,657.65 = 4,929,173,657.65 : x
  2. Step 2: Convert to fraction form
    2,129,399,229.69/4,929,173,657.65 = 4,929,173,657.65/x
  3. Step 3: Cross multiply
    2,129,399,229.69x = 4,929,173,657.65 × 4,929,173,657.65
  4. Step 4: Simplify right side
    2,129,399,229.69x = 24,296,752,947,256,872,960
  5. Step 5: Solve for x
    x = 24,296,752,947,256,872,960/2,129,399,229.69
  6. Step 6: Final answer
    x = 11,410,144,517.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.