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Finding the Third Proportional to 5,448,519 and 11,461,689

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Solution

The third proportional to 5,448,519 and 11,461,689 is: 24,111,196.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448,519 : 11,461,689 = 11,461,689 : x
  2. Step 2: Convert to fraction form
    5,448,519/11,461,689 = 11,461,689/x
  3. Step 3: Cross multiply
    5,448,519x = 11,461,689 × 11,461,689
  4. Step 4: Simplify right side
    5,448,519x = 131,370,314,732,721
  5. Step 5: Solve for x
    x = 131,370,314,732,721/5,448,519
  6. Step 6: Final answer
    x = 24,111,196.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.