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Finding the Third Proportional to 4,511,056 and 9,919,376

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Solution

The third proportional to 4,511,056 and 9,919,376 is: 21,811,748.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,511,056 : 9,919,376 = 9,919,376 : x
  2. Step 2: Convert to fraction form
    4,511,056/9,919,376 = 9,919,376/x
  3. Step 3: Cross multiply
    4,511,056x = 9,919,376 × 9,919,376
  4. Step 4: Simplify right side
    4,511,056x = 98,394,020,229,376
  5. Step 5: Solve for x
    x = 98,394,020,229,376/4,511,056
  6. Step 6: Final answer
    x = 21,811,748.79

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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.