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Finding the Third Proportional to 9,477,153 and 20,467,341

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Solution

The third proportional to 9,477,153 and 20,467,341 is: 44,202,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477,153 : 20,467,341 = 20,467,341 : x
  2. Step 2: Convert to fraction form
    9,477,153/20,467,341 = 20,467,341/x
  3. Step 3: Cross multiply
    9,477,153x = 20,467,341 × 20,467,341
  4. Step 4: Simplify right side
    9,477,153x = 418,912,047,610,281
  5. Step 5: Solve for x
    x = 418,912,047,610,281/9,477,153
  6. Step 6: Final answer
    x = 44,202,309.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.