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Finding the Third Proportional to 6,836,349.38 and 10,582,042.50

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Solution

The third proportional to 6,836,349.38 and 10,582,042.50 is: 16,380,032.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836,349.38 : 10,582,042.50 = 10,582,042.50 : x
  2. Step 2: Convert to fraction form
    6,836,349.38/10,582,042.50 = 10,582,042.50/x
  3. Step 3: Cross multiply
    6,836,349.38x = 10,582,042.50 × 10,582,042.50
  4. Step 4: Simplify right side
    6,836,349.38x = 111,979,623,471,806.25
  5. Step 5: Solve for x
    x = 111,979,623,471,806.25/6,836,349.38
  6. Step 6: Final answer
    x = 16,380,032.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.