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Finding the Third Proportional to 3,084,193.50 and 6,683,196

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Solution

The third proportional to 3,084,193.50 and 6,683,196 is: 14,481,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084,193.50 : 6,683,196 = 6,683,196 : x
  2. Step 2: Convert to fraction form
    3,084,193.50/6,683,196 = 6,683,196/x
  3. Step 3: Cross multiply
    3,084,193.50x = 6,683,196 × 6,683,196
  4. Step 4: Simplify right side
    3,084,193.50x = 44,665,108,774,416
  5. Step 5: Solve for x
    x = 44,665,108,774,416/3,084,193.50
  6. Step 6: Final answer
    x = 14,481,941.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.