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Finding the Third Proportional to 6,503,978 and 9,661,683

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Solution

The third proportional to 6,503,978 and 9,661,683 is: 14,352,465.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503,978 : 9,661,683 = 9,661,683 : x
  2. Step 2: Convert to fraction form
    6,503,978/9,661,683 = 9,661,683/x
  3. Step 3: Cross multiply
    6,503,978x = 9,661,683 × 9,661,683
  4. Step 4: Simplify right side
    6,503,978x = 93,348,118,392,489
  5. Step 5: Solve for x
    x = 93,348,118,392,489/6,503,978
  6. Step 6: Final answer
    x = 14,352,465.27

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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.