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Finding the Third Proportional to 2,185,121,172 and 4,806,090,400

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Solution

The third proportional to 2,185,121,172 and 4,806,090,400 is: 10,570,811,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185,121,172 : 4,806,090,400 = 4,806,090,400 : x
  2. Step 2: Convert to fraction form
    2,185,121,172/4,806,090,400 = 4,806,090,400/x
  3. Step 3: Cross multiply
    2,185,121,172x = 4,806,090,400 × 4,806,090,400
  4. Step 4: Simplify right side
    2,185,121,172x = 23,098,504,932,972,158,976
  5. Step 5: Solve for x
    x = 23,098,504,932,972,158,976/2,185,121,172
  6. Step 6: Final answer
    x = 10,570,811,920.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.