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Finding the Third Proportional to 9,457,514 and 20,804,594

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Solution

The third proportional to 9,457,514 and 20,804,594 is: 45,765,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457,514 : 20,804,594 = 20,804,594 : x
  2. Step 2: Convert to fraction form
    9,457,514/20,804,594 = 20,804,594/x
  3. Step 3: Cross multiply
    9,457,514x = 20,804,594 × 20,804,594
  4. Step 4: Simplify right side
    9,457,514x = 432,831,131,504,836
  5. Step 5: Solve for x
    x = 432,831,131,504,836/9,457,514
  6. Step 6: Final answer
    x = 45,765,846.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.