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Finding the Third Proportional to 9,544,426,414,623.20 and 20,936,702,946,944

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Solution

The third proportional to 9,544,426,414,623.20 and 20,936,702,946,944 is: 45,926,859,430,439.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544,426,414,623.20 : 20,936,702,946,944 = 20,936,702,946,944 : x
  2. Step 2: Convert to fraction form
    9,544,426,414,623.20/20,936,702,946,944 = 20,936,702,946,944/x
  3. Step 3: Cross multiply
    9,544,426,414,623.20x = 20,936,702,946,944 × 20,936,702,946,944
  4. Step 4: Simplify right side
    9,544,426,414,623.20x = 438,345,530,288,573,582,548,140,032
  5. Step 5: Solve for x
    x = 438,345,530,288,573,582,548,140,032/9,544,426,414,623.20
  6. Step 6: Final answer
    x = 45,926,859,430,439.52

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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.