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Finding the Third Proportional to 3,743,919 and 5,350,157.63

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Solution

The third proportional to 3,743,919 and 5,350,157.63 is: 7,645,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743,919 : 5,350,157.63 = 5,350,157.63 : x
  2. Step 2: Convert to fraction form
    3,743,919/5,350,157.63 = 5,350,157.63/x
  3. Step 3: Cross multiply
    3,743,919x = 5,350,157.63 × 5,350,157.63
  4. Step 4: Simplify right side
    3,743,919x = 28,624,186,612,345.64
  5. Step 5: Solve for x
    x = 28,624,186,612,345.64/3,743,919
  6. Step 6: Final answer
    x = 7,645,514.40

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.