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Finding the Third Proportional to 3,073,633 and 6,745,138

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Solution

The third proportional to 3,073,633 and 6,745,138 is: 14,802,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073,633 : 6,745,138 = 6,745,138 : x
  2. Step 2: Convert to fraction form
    3,073,633/6,745,138 = 6,745,138/x
  3. Step 3: Cross multiply
    3,073,633x = 6,745,138 × 6,745,138
  4. Step 4: Simplify right side
    3,073,633x = 45,496,886,639,044
  5. Step 5: Solve for x
    x = 45,496,886,639,044/3,073,633
  6. Step 6: Final answer
    x = 14,802,315.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.