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Finding the Third Proportional to 9,646,014,400.88 and 20,084,734,400.63

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Solution

The third proportional to 9,646,014,400.88 and 20,084,734,400.63 is: 41,820,024,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,014,400.88 : 20,084,734,400.63 = 20,084,734,400.63 : x
  2. Step 2: Convert to fraction form
    9,646,014,400.88/20,084,734,400.63 = 20,084,734,400.63/x
  3. Step 3: Cross multiply
    9,646,014,400.88x = 20,084,734,400.63 × 20,084,734,400.63
  4. Step 4: Simplify right side
    9,646,014,400.88x = 403,396,555,943,649,280,000
  5. Step 5: Solve for x
    x = 403,396,555,943,649,280,000/9,646,014,400.88
  6. Step 6: Final answer
    x = 41,820,024,227.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.