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Finding the Third Proportional to 5,447,832 and 8,777,913

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Solution

The third proportional to 5,447,832 and 8,777,913 is: 14,143,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447,832 : 8,777,913 = 8,777,913 : x
  2. Step 2: Convert to fraction form
    5,447,832/8,777,913 = 8,777,913/x
  3. Step 3: Cross multiply
    5,447,832x = 8,777,913 × 8,777,913
  4. Step 4: Simplify right side
    5,447,832x = 77,051,756,635,569
  5. Step 5: Solve for x
    x = 77,051,756,635,569/5,447,832
  6. Step 6: Final answer
    x = 14,143,563.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.