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Finding the Third Proportional to 3,156,266.25 and 6,903,144

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Solution

The third proportional to 3,156,266.25 and 6,903,144 is: 15,098,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156,266.25 : 6,903,144 = 6,903,144 : x
  2. Step 2: Convert to fraction form
    3,156,266.25/6,903,144 = 6,903,144/x
  3. Step 3: Cross multiply
    3,156,266.25x = 6,903,144 × 6,903,144
  4. Step 4: Simplify right side
    3,156,266.25x = 47,653,397,084,736
  5. Step 5: Solve for x
    x = 47,653,397,084,736/3,156,266.25
  6. Step 6: Final answer
    x = 15,098,028.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.