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Finding the Third Proportional to 6,411,005 and 9,958,652

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Solution

The third proportional to 6,411,005 and 9,958,652 is: 15,469,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411,005 : 9,958,652 = 9,958,652 : x
  2. Step 2: Convert to fraction form
    6,411,005/9,958,652 = 9,958,652/x
  3. Step 3: Cross multiply
    6,411,005x = 9,958,652 × 9,958,652
  4. Step 4: Simplify right side
    6,411,005x = 99,174,749,657,104
  5. Step 5: Solve for x
    x = 99,174,749,657,104/6,411,005
  6. Step 6: Final answer
    x = 15,469,454.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.