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Finding the Third Proportional to 6,741,633 and 14,857,545

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Solution

The third proportional to 6,741,633 and 14,857,545 is: 32,743,794.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741,633 : 14,857,545 = 14,857,545 : x
  2. Step 2: Convert to fraction form
    6,741,633/14,857,545 = 14,857,545/x
  3. Step 3: Cross multiply
    6,741,633x = 14,857,545 × 14,857,545
  4. Step 4: Simplify right side
    6,741,633x = 220,746,643,427,025
  5. Step 5: Solve for x
    x = 220,746,643,427,025/6,741,633
  6. Step 6: Final answer
    x = 32,743,794.19

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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.