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Finding the Third Proportional to 10,454,976 and 22,511,856

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Solution

The third proportional to 10,454,976 and 22,511,856 is: 48,472,962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454,976 : 22,511,856 = 22,511,856 : x
  2. Step 2: Convert to fraction form
    10,454,976/22,511,856 = 22,511,856/x
  3. Step 3: Cross multiply
    10,454,976x = 22,511,856 × 22,511,856
  4. Step 4: Simplify right side
    10,454,976x = 506,783,660,564,736
  5. Step 5: Solve for x
    x = 506,783,660,564,736/10,454,976
  6. Step 6: Final answer
    x = 48,472,962.59

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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.