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Finding the Third Proportional to 9,460,096 and 20,751,472

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Solution

The third proportional to 9,460,096 and 20,751,472 is: 45,520,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460,096 : 20,751,472 = 20,751,472 : x
  2. Step 2: Convert to fraction form
    9,460,096/20,751,472 = 20,751,472/x
  3. Step 3: Cross multiply
    9,460,096x = 20,751,472 × 20,751,472
  4. Step 4: Simplify right side
    9,460,096x = 430,623,590,166,784
  5. Step 5: Solve for x
    x = 430,623,590,166,784/9,460,096
  6. Step 6: Final answer
    x = 45,520,002.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.