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Finding the Third Proportional to 22,434,840 and 48,800,496

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Solution

The third proportional to 22,434,840 and 48,800,496 is: 106,151,343.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,434,840 : 48,800,496 = 48,800,496 : x
  2. Step 2: Convert to fraction form
    22,434,840/48,800,496 = 48,800,496/x
  3. Step 3: Cross multiply
    22,434,840x = 48,800,496 × 48,800,496
  4. Step 4: Simplify right side
    22,434,840x = 2,381,488,409,846,016
  5. Step 5: Solve for x
    x = 2,381,488,409,846,016/22,434,840
  6. Step 6: Final answer
    x = 106,151,343.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.