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Finding the Third Proportional to 2,640,472.17 and 5,785,469.30

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Solution

The third proportional to 2,640,472.17 and 5,785,469.30 is: 12,676,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640,472.17 : 5,785,469.30 = 5,785,469.30 : x
  2. Step 2: Convert to fraction form
    2,640,472.17/5,785,469.30 = 5,785,469.30/x
  3. Step 3: Cross multiply
    2,640,472.17x = 5,785,469.30 × 5,785,469.30
  4. Step 4: Simplify right side
    2,640,472.17x = 33,471,654,985,083.31
  5. Step 5: Solve for x
    x = 33,471,654,985,083.31/2,640,472.17
  6. Step 6: Final answer
    x = 12,676,389.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.