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Finding the Third Proportional to 5,709,203.84 and 13,321,935.37

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Solution

The third proportional to 5,709,203.84 and 13,321,935.37 is: 31,085,588.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,203.84 : 13,321,935.37 = 13,321,935.37 : x
  2. Step 2: Convert to fraction form
    5,709,203.84/13,321,935.37 = 13,321,935.37/x
  3. Step 3: Cross multiply
    5,709,203.84x = 13,321,935.37 × 13,321,935.37
  4. Step 4: Simplify right side
    5,709,203.84x = 177,473,961,979,569.94
  5. Step 5: Solve for x
    x = 177,473,961,979,569.94/5,709,203.84
  6. Step 6: Final answer
    x = 31,085,588.62

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.