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Finding the Third Proportional to 3,785,372 and 8,209,632

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Solution

The third proportional to 3,785,372 and 8,209,632 is: 17,804,870.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,372 : 8,209,632 = 8,209,632 : x
  2. Step 2: Convert to fraction form
    3,785,372/8,209,632 = 8,209,632/x
  3. Step 3: Cross multiply
    3,785,372x = 8,209,632 × 8,209,632
  4. Step 4: Simplify right side
    3,785,372x = 67,398,057,575,424
  5. Step 5: Solve for x
    x = 67,398,057,575,424/3,785,372
  6. Step 6: Final answer
    x = 17,804,870.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.