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Finding the Third Proportional to 3,663,133.88 and 5,384,952.14

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Solution

The third proportional to 3,663,133.88 and 5,384,952.14 is: 7,916,093.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663,133.88 : 5,384,952.14 = 5,384,952.14 : x
  2. Step 2: Convert to fraction form
    3,663,133.88/5,384,952.14 = 5,384,952.14/x
  3. Step 3: Cross multiply
    3,663,133.88x = 5,384,952.14 × 5,384,952.14
  4. Step 4: Simplify right side
    3,663,133.88x = 28,997,709,556,821.77
  5. Step 5: Solve for x
    x = 28,997,709,556,821.77/3,663,133.88
  6. Step 6: Final answer
    x = 7,916,093.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.