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Finding the Third Proportional to 11,746,669 and 25,228,519

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Solution

The third proportional to 11,746,669 and 25,228,519 is: 54,183,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746,669 : 25,228,519 = 25,228,519 : x
  2. Step 2: Convert to fraction form
    11,746,669/25,228,519 = 25,228,519/x
  3. Step 3: Cross multiply
    11,746,669x = 25,228,519 × 25,228,519
  4. Step 4: Simplify right side
    11,746,669x = 636,478,170,933,361
  5. Step 5: Solve for x
    x = 636,478,170,933,361/11,746,669
  6. Step 6: Final answer
    x = 54,183,715.48

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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.