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Finding the Third Proportional to 3,302,571 and 6,831,691.50

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Solution

The third proportional to 3,302,571 and 6,831,691.50 is: 14,132,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302,571 : 6,831,691.50 = 6,831,691.50 : x
  2. Step 2: Convert to fraction form
    3,302,571/6,831,691.50 = 6,831,691.50/x
  3. Step 3: Cross multiply
    3,302,571x = 6,831,691.50 × 6,831,691.50
  4. Step 4: Simplify right side
    3,302,571x = 46,672,008,751,172.25
  5. Step 5: Solve for x
    x = 46,672,008,751,172.25/3,302,571
  6. Step 6: Final answer
    x = 14,132,022.82

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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.