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Finding the Third Proportional to 4,107,600 and 9,159,660

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Solution

The third proportional to 4,107,600 and 9,159,660 is: 20,425,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,600 : 9,159,660 = 9,159,660 : x
  2. Step 2: Convert to fraction form
    4,107,600/9,159,660 = 9,159,660/x
  3. Step 3: Cross multiply
    4,107,600x = 9,159,660 × 9,159,660
  4. Step 4: Simplify right side
    4,107,600x = 83,899,371,315,600
  5. Step 5: Solve for x
    x = 83,899,371,315,600/4,107,600
  6. Step 6: Final answer
    x = 20,425,399.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.