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Finding the Third Proportional to 6,677,972 and 9,977,647

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Solution

The third proportional to 6,677,972 and 9,977,647 is: 14,907,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677,972 : 9,977,647 = 9,977,647 : x
  2. Step 2: Convert to fraction form
    6,677,972/9,977,647 = 9,977,647/x
  3. Step 3: Cross multiply
    6,677,972x = 9,977,647 × 9,977,647
  4. Step 4: Simplify right side
    6,677,972x = 99,553,439,656,609
  5. Step 5: Solve for x
    x = 99,553,439,656,609/6,677,972
  6. Step 6: Final answer
    x = 14,907,735.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.