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Finding the Third Proportional to 193,471,718,610.55 and 420,911,296,247.80

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Solution

The third proportional to 193,471,718,610.55 and 420,911,296,247.80 is: 915,722,052,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,471,718,610.55 : 420,911,296,247.80 = 420,911,296,247.80 : x
  2. Step 2: Convert to fraction form
    193,471,718,610.55/420,911,296,247.80 = 420,911,296,247.80/x
  3. Step 3: Cross multiply
    193,471,718,610.55x = 420,911,296,247.80 × 420,911,296,247.80
  4. Step 4: Simplify right side
    193,471,718,610.55x = 177,166,319,309,003,253,874,688
  5. Step 5: Solve for x
    x = 177,166,319,309,003,253,874,688/193,471,718,610.55
  6. Step 6: Final answer
    x = 915,722,052,718.37

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