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Finding the Third Proportional to 3,068,428.50 and 6,460,350.75

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Solution

The third proportional to 3,068,428.50 and 6,460,350.75 is: 13,601,793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068,428.50 : 6,460,350.75 = 6,460,350.75 : x
  2. Step 2: Convert to fraction form
    3,068,428.50/6,460,350.75 = 6,460,350.75/x
  3. Step 3: Cross multiply
    3,068,428.50x = 6,460,350.75 × 6,460,350.75
  4. Step 4: Simplify right side
    3,068,428.50x = 41,736,131,813,025.56
  5. Step 5: Solve for x
    x = 41,736,131,813,025.56/3,068,428.50
  6. Step 6: Final answer
    x = 13,601,793.82

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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.