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Finding the Third Proportional to 3,166,821.50 and 6,831,307

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Solution

The third proportional to 3,166,821.50 and 6,831,307 is: 14,736,149.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166,821.50 : 6,831,307 = 6,831,307 : x
  2. Step 2: Convert to fraction form
    3,166,821.50/6,831,307 = 6,831,307/x
  3. Step 3: Cross multiply
    3,166,821.50x = 6,831,307 × 6,831,307
  4. Step 4: Simplify right side
    3,166,821.50x = 46,666,755,328,249
  5. Step 5: Solve for x
    x = 46,666,755,328,249/3,166,821.50
  6. Step 6: Final answer
    x = 14,736,149.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.