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Finding the Third Proportional to 3,192,954.19 and 6,971,157.42

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Solution

The third proportional to 3,192,954.19 and 6,971,157.42 is: 15,220,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192,954.19 : 6,971,157.42 = 6,971,157.42 : x
  2. Step 2: Convert to fraction form
    3,192,954.19/6,971,157.42 = 6,971,157.42/x
  3. Step 3: Cross multiply
    3,192,954.19x = 6,971,157.42 × 6,971,157.42
  4. Step 4: Simplify right side
    3,192,954.19x = 48,597,035,800,562.90
  5. Step 5: Solve for x
    x = 48,597,035,800,562.90/3,192,954.19
  6. Step 6: Final answer
    x = 15,220,085.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.