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Finding the Third Proportional to 5,473,134,751.50 and 11,949,497,217

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Solution

The third proportional to 5,473,134,751.50 and 11,949,497,217 is: 26,089,341,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473,134,751.50 : 11,949,497,217 = 11,949,497,217 : x
  2. Step 2: Convert to fraction form
    5,473,134,751.50/11,949,497,217 = 11,949,497,217/x
  3. Step 3: Cross multiply
    5,473,134,751.50x = 11,949,497,217 × 11,949,497,217
  4. Step 4: Simplify right side
    5,473,134,751.50x = 142,790,483,739,090,747,392
  5. Step 5: Solve for x
    x = 142,790,483,739,090,747,392/5,473,134,751.50
  6. Step 6: Final answer
    x = 26,089,341,889.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.