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Finding the Third Proportional to 2,384,221.50 and 5,109,345

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Solution

The third proportional to 2,384,221.50 and 5,109,345 is: 10,949,237.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384,221.50 : 5,109,345 = 5,109,345 : x
  2. Step 2: Convert to fraction form
    2,384,221.50/5,109,345 = 5,109,345/x
  3. Step 3: Cross multiply
    2,384,221.50x = 5,109,345 × 5,109,345
  4. Step 4: Simplify right side
    2,384,221.50x = 26,105,406,329,025
  5. Step 5: Solve for x
    x = 26,105,406,329,025/2,384,221.50
  6. Step 6: Final answer
    x = 10,949,237.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.