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Finding the Third Proportional to 2,763,403.50 and 6,514,020

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Solution

The third proportional to 2,763,403.50 and 6,514,020 is: 15,355,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763,403.50 : 6,514,020 = 6,514,020 : x
  2. Step 2: Convert to fraction form
    2,763,403.50/6,514,020 = 6,514,020/x
  3. Step 3: Cross multiply
    2,763,403.50x = 6,514,020 × 6,514,020
  4. Step 4: Simplify right side
    2,763,403.50x = 42,432,456,560,400
  5. Step 5: Solve for x
    x = 42,432,456,560,400/2,763,403.50
  6. Step 6: Final answer
    x = 15,355,143.24

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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.