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Finding the Third Proportional to 4,175,005 and 8,896,761

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Solution

The third proportional to 4,175,005 and 8,896,761 is: 18,958,625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,175,005 : 8,896,761 = 8,896,761 : x
  2. Step 2: Convert to fraction form
    4,175,005/8,896,761 = 8,896,761/x
  3. Step 3: Cross multiply
    4,175,005x = 8,896,761 × 8,896,761
  4. Step 4: Simplify right side
    4,175,005x = 79,152,356,291,121
  5. Step 5: Solve for x
    x = 79,152,356,291,121/4,175,005
  6. Step 6: Final answer
    x = 18,958,625.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.