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Finding the Third Proportional to 4,163,532 and 9,637,977

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Solution

The third proportional to 4,163,532 and 9,637,977 is: 22,310,528.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163,532 : 9,637,977 = 9,637,977 : x
  2. Step 2: Convert to fraction form
    4,163,532/9,637,977 = 9,637,977/x
  3. Step 3: Cross multiply
    4,163,532x = 9,637,977 × 9,637,977
  4. Step 4: Simplify right side
    4,163,532x = 92,890,600,652,529
  5. Step 5: Solve for x
    x = 92,890,600,652,529/4,163,532
  6. Step 6: Final answer
    x = 22,310,528.81

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.