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Finding the Third Proportional to 9,471,264 and 20,458,110

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Solution

The third proportional to 9,471,264 and 20,458,110 is: 44,189,905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471,264 : 20,458,110 = 20,458,110 : x
  2. Step 2: Convert to fraction form
    9,471,264/20,458,110 = 20,458,110/x
  3. Step 3: Cross multiply
    9,471,264x = 20,458,110 × 20,458,110
  4. Step 4: Simplify right side
    9,471,264x = 418,534,264,772,100
  5. Step 5: Solve for x
    x = 418,534,264,772,100/9,471,264
  6. Step 6: Final answer
    x = 44,189,905.89

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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.