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Finding the Third Proportional to 10,215,828 and 22,225,258

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Solution

The third proportional to 10,215,828 and 22,225,258 is: 48,352,624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215,828 : 22,225,258 = 22,225,258 : x
  2. Step 2: Convert to fraction form
    10,215,828/22,225,258 = 22,225,258/x
  3. Step 3: Cross multiply
    10,215,828x = 22,225,258 × 22,225,258
  4. Step 4: Simplify right side
    10,215,828x = 493,962,093,166,564
  5. Step 5: Solve for x
    x = 493,962,093,166,564/10,215,828
  6. Step 6: Final answer
    x = 48,352,624.30

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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.