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Finding the Third Proportional to 3,664,045.13 and 7,831,255.92

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Solution

The third proportional to 3,664,045.13 and 7,831,255.92 is: 16,737,940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664,045.13 : 7,831,255.92 = 7,831,255.92 : x
  2. Step 2: Convert to fraction form
    3,664,045.13/7,831,255.92 = 7,831,255.92/x
  3. Step 3: Cross multiply
    3,664,045.13x = 7,831,255.92 × 7,831,255.92
  4. Step 4: Simplify right side
    3,664,045.13x = 61,328,569,313,902.26
  5. Step 5: Solve for x
    x = 61,328,569,313,902.26/3,664,045.13
  6. Step 6: Final answer
    x = 16,737,940.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.