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Finding the Third Proportional to 6,503,982 and 9,661,689

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Solution

The third proportional to 6,503,982 and 9,661,689 is: 14,352,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503,982 : 9,661,689 = 9,661,689 : x
  2. Step 2: Convert to fraction form
    6,503,982/9,661,689 = 9,661,689/x
  3. Step 3: Cross multiply
    6,503,982x = 9,661,689 × 9,661,689
  4. Step 4: Simplify right side
    6,503,982x = 93,348,234,332,721
  5. Step 5: Solve for x
    x = 93,348,234,332,721/6,503,982
  6. Step 6: Final answer
    x = 14,352,474.27

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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.