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Finding the Third Proportional to 23,634,917 and 51,410,918

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Solution

The third proportional to 23,634,917 and 51,410,918 is: 111,829,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634,917 : 51,410,918 = 51,410,918 : x
  2. Step 2: Convert to fraction form
    23,634,917/51,410,918 = 51,410,918/x
  3. Step 3: Cross multiply
    23,634,917x = 51,410,918 × 51,410,918
  4. Step 4: Simplify right side
    23,634,917x = 2,643,082,489,602,724
  5. Step 5: Solve for x
    x = 2,643,082,489,602,724/23,634,917
  6. Step 6: Final answer
    x = 111,829,565.11

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Why These Related Problems?

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