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Finding the Third Proportional to 22,469,115 and 48,409,216

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Solution

The third proportional to 22,469,115 and 48,409,216 is: 104,296,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469,115 : 48,409,216 = 48,409,216 : x
  2. Step 2: Convert to fraction form
    22,469,115/48,409,216 = 48,409,216/x
  3. Step 3: Cross multiply
    22,469,115x = 48,409,216 × 48,409,216
  4. Step 4: Simplify right side
    22,469,115x = 2,343,452,193,734,656
  5. Step 5: Solve for x
    x = 2,343,452,193,734,656/22,469,115
  6. Step 6: Final answer
    x = 104,296,595.29

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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.