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Finding the Third Proportional to 3,415,822 and 7,338,164

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Solution

The third proportional to 3,415,822 and 7,338,164 is: 15,764,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415,822 : 7,338,164 = 7,338,164 : x
  2. Step 2: Convert to fraction form
    3,415,822/7,338,164 = 7,338,164/x
  3. Step 3: Cross multiply
    3,415,822x = 7,338,164 × 7,338,164
  4. Step 4: Simplify right side
    3,415,822x = 53,848,650,890,896
  5. Step 5: Solve for x
    x = 53,848,650,890,896/3,415,822
  6. Step 6: Final answer
    x = 15,764,478.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.