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Finding the Third Proportional to 2,929,041 and 6,378,588

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Solution

The third proportional to 2,929,041 and 6,378,588 is: 13,890,684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929,041 : 6,378,588 = 6,378,588 : x
  2. Step 2: Convert to fraction form
    2,929,041/6,378,588 = 6,378,588/x
  3. Step 3: Cross multiply
    2,929,041x = 6,378,588 × 6,378,588
  4. Step 4: Simplify right side
    2,929,041x = 40,686,384,873,744
  5. Step 5: Solve for x
    x = 40,686,384,873,744/2,929,041
  6. Step 6: Final answer
    x = 13,890,684.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.