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Finding the Third Proportional to 4,107,568 and 9,159,598

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Solution

The third proportional to 4,107,568 and 9,159,598 is: 20,425,282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107,568 : 9,159,598 = 9,159,598 : x
  2. Step 2: Convert to fraction form
    4,107,568/9,159,598 = 9,159,598/x
  3. Step 3: Cross multiply
    4,107,568x = 9,159,598 × 9,159,598
  4. Step 4: Simplify right side
    4,107,568x = 83,898,235,521,604
  5. Step 5: Solve for x
    x = 83,898,235,521,604/4,107,568
  6. Step 6: Final answer
    x = 20,425,282.19

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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.