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Finding the Third Proportional to 9,544,426,414,619 and 20,936,702,946,937

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Solution

The third proportional to 9,544,426,414,619 and 20,936,702,946,937 is: 45,926,859,430,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544,426,414,619 : 20,936,702,946,937 = 20,936,702,946,937 : x
  2. Step 2: Convert to fraction form
    9,544,426,414,619/20,936,702,946,937 = 20,936,702,946,937/x
  3. Step 3: Cross multiply
    9,544,426,414,619x = 20,936,702,946,937 × 20,936,702,946,937
  4. Step 4: Simplify right side
    9,544,426,414,619x = 438,345,530,288,280,493,979,860,992
  5. Step 5: Solve for x
    x = 438,345,530,288,280,493,979,860,992/9,544,426,414,619
  6. Step 6: Final answer
    x = 45,926,859,430,429.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.