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Finding the Third Proportional to 10,295,215 and 22,383,230

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Solution

The third proportional to 10,295,215 and 22,383,230 is: 48,664,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295,215 : 22,383,230 = 22,383,230 : x
  2. Step 2: Convert to fraction form
    10,295,215/22,383,230 = 22,383,230/x
  3. Step 3: Cross multiply
    10,295,215x = 22,383,230 × 22,383,230
  4. Step 4: Simplify right side
    10,295,215x = 501,008,985,232,900
  5. Step 5: Solve for x
    x = 501,008,985,232,900/10,295,215
  6. Step 6: Final answer
    x = 48,664,256.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.