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Finding the Third Proportional to 6,781,986 and 10,242,099

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Solution

The third proportional to 6,781,986 and 10,242,099 is: 15,467,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781,986 : 10,242,099 = 10,242,099 : x
  2. Step 2: Convert to fraction form
    6,781,986/10,242,099 = 10,242,099/x
  3. Step 3: Cross multiply
    6,781,986x = 10,242,099 × 10,242,099
  4. Step 4: Simplify right side
    6,781,986x = 104,900,591,925,801
  5. Step 5: Solve for x
    x = 104,900,591,925,801/6,781,986
  6. Step 6: Final answer
    x = 15,467,532.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.