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Finding the Third Proportional to 6,471,103,696 and 13,941,851,200

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Solution

The third proportional to 6,471,103,696 and 13,941,851,200 is: 30,037,413,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471,103,696 : 13,941,851,200 = 13,941,851,200 : x
  2. Step 2: Convert to fraction form
    6,471,103,696/13,941,851,200 = 13,941,851,200/x
  3. Step 3: Cross multiply
    6,471,103,696x = 13,941,851,200 × 13,941,851,200
  4. Step 4: Simplify right side
    6,471,103,696x = 194,375,214,882,941,435,904
  5. Step 5: Solve for x
    x = 194,375,214,882,941,435,904/6,471,103,696
  6. Step 6: Final answer
    x = 30,037,413,092.78

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.