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Finding the Third Proportional to 51,825,414 and 113,413,644

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Solution

The third proportional to 51,825,414 and 113,413,644 is: 248,192,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825,414 : 113,413,644 = 113,413,644 : x
  2. Step 2: Convert to fraction form
    51,825,414/113,413,644 = 113,413,644/x
  3. Step 3: Cross multiply
    51,825,414x = 113,413,644 × 113,413,644
  4. Step 4: Simplify right side
    51,825,414x = 12,862,654,645,358,736
  5. Step 5: Solve for x
    x = 12,862,654,645,358,736/51,825,414
  6. Step 6: Final answer
    x = 248,192,028.83

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