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Finding the Third Proportional to 3,068,811 and 6,461,115

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Solution

The third proportional to 3,068,811 and 6,461,115 is: 13,603,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068,811 : 6,461,115 = 6,461,115 : x
  2. Step 2: Convert to fraction form
    3,068,811/6,461,115 = 6,461,115/x
  3. Step 3: Cross multiply
    3,068,811x = 6,461,115 × 6,461,115
  4. Step 4: Simplify right side
    3,068,811x = 41,746,007,043,225
  5. Step 5: Solve for x
    x = 41,746,007,043,225/3,068,811
  6. Step 6: Final answer
    x = 13,603,316.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.