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Finding the Third Proportional to 5,777,846.25 and 13,663,963.50

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Solution

The third proportional to 5,777,846.25 and 13,663,963.50 is: 32,313,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777,846.25 : 13,663,963.50 = 13,663,963.50 : x
  2. Step 2: Convert to fraction form
    5,777,846.25/13,663,963.50 = 13,663,963.50/x
  3. Step 3: Cross multiply
    5,777,846.25x = 13,663,963.50 × 13,663,963.50
  4. Step 4: Simplify right side
    5,777,846.25x = 186,703,898,529,332.25
  5. Step 5: Solve for x
    x = 186,703,898,529,332.25/5,777,846.25
  6. Step 6: Final answer
    x = 32,313,753.33

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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.