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Finding the Third Proportional to 3,302,572.50 and 6,831,693.75

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Solution

The third proportional to 3,302,572.50 and 6,831,693.75 is: 14,132,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302,572.50 : 6,831,693.75 = 6,831,693.75 : x
  2. Step 2: Convert to fraction form
    3,302,572.50/6,831,693.75 = 6,831,693.75/x
  3. Step 3: Cross multiply
    3,302,572.50x = 6,831,693.75 × 6,831,693.75
  4. Step 4: Simplify right side
    3,302,572.50x = 46,672,039,493,789.06
  5. Step 5: Solve for x
    x = 46,672,039,493,789.06/3,302,572.50
  6. Step 6: Final answer
    x = 14,132,025.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.