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Finding the Third Proportional to 10,491,044 and 22,576,412

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Solution

The third proportional to 10,491,044 and 22,576,412 is: 48,583,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491,044 : 22,576,412 = 22,576,412 : x
  2. Step 2: Convert to fraction form
    10,491,044/22,576,412 = 22,576,412/x
  3. Step 3: Cross multiply
    10,491,044x = 22,576,412 × 22,576,412
  4. Step 4: Simplify right side
    10,491,044x = 509,694,378,793,744
  5. Step 5: Solve for x
    x = 509,694,378,793,744/10,491,044
  6. Step 6: Final answer
    x = 48,583,761.42

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Why These Related Problems?

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