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Finding the Third Proportional to 2,205,516.94 and 4,777,437.38

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Solution

The third proportional to 2,205,516.94 and 4,777,437.38 is: 10,348,552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,516.94 : 4,777,437.38 = 4,777,437.38 : x
  2. Step 2: Convert to fraction form
    2,205,516.94/4,777,437.38 = 4,777,437.38/x
  3. Step 3: Cross multiply
    2,205,516.94x = 4,777,437.38 × 4,777,437.38
  4. Step 4: Simplify right side
    2,205,516.94x = 22,823,907,872,046.89
  5. Step 5: Solve for x
    x = 22,823,907,872,046.89/2,205,516.94
  6. Step 6: Final answer
    x = 10,348,552.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.