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Finding the Third Proportional to 22,892,974 and 48,515,324

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Solution

The third proportional to 22,892,974 and 48,515,324 is: 102,814,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,892,974 : 48,515,324 = 48,515,324 : x
  2. Step 2: Convert to fraction form
    22,892,974/48,515,324 = 48,515,324/x
  3. Step 3: Cross multiply
    22,892,974x = 48,515,324 × 48,515,324
  4. Step 4: Simplify right side
    22,892,974x = 2,353,736,662,824,976
  5. Step 5: Solve for x
    x = 2,353,736,662,824,976/22,892,974
  6. Step 6: Final answer
    x = 102,814,805.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.