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Finding the Third Proportional to 6,754,856 and 13,785,108

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Solution

The third proportional to 6,754,856 and 13,785,108 is: 28,132,235.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754,856 : 13,785,108 = 13,785,108 : x
  2. Step 2: Convert to fraction form
    6,754,856/13,785,108 = 13,785,108/x
  3. Step 3: Cross multiply
    6,754,856x = 13,785,108 × 13,785,108
  4. Step 4: Simplify right side
    6,754,856x = 190,029,202,571,664
  5. Step 5: Solve for x
    x = 190,029,202,571,664/6,754,856
  6. Step 6: Final answer
    x = 28,132,235.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.