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Finding the Third Proportional to 17,057,829 and 40,267,747

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Solution

The third proportional to 17,057,829 and 40,267,747 is: 95,058,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,057,829 : 40,267,747 = 40,267,747 : x
  2. Step 2: Convert to fraction form
    17,057,829/40,267,747 = 40,267,747/x
  3. Step 3: Cross multiply
    17,057,829x = 40,267,747 × 40,267,747
  4. Step 4: Simplify right side
    17,057,829x = 1,621,491,448,456,009
  5. Step 5: Solve for x
    x = 1,621,491,448,456,009/17,057,829
  6. Step 6: Final answer
    x = 95,058,488.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.