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Finding the Third Proportional to 2,167,411.50 and 4,763,853

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Solution

The third proportional to 2,167,411.50 and 4,763,853 is: 10,470,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167,411.50 : 4,763,853 = 4,763,853 : x
  2. Step 2: Convert to fraction form
    2,167,411.50/4,763,853 = 4,763,853/x
  3. Step 3: Cross multiply
    2,167,411.50x = 4,763,853 × 4,763,853
  4. Step 4: Simplify right side
    2,167,411.50x = 22,694,295,405,609
  5. Step 5: Solve for x
    x = 22,694,295,405,609/2,167,411.50
  6. Step 6: Final answer
    x = 10,470,690.69

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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.