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Finding the Third Proportional to 4,542,396.47 and 6,981,975.98

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Solution

The third proportional to 4,542,396.47 and 6,981,975.98 is: 10,731,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542,396.47 : 6,981,975.98 = 6,981,975.98 : x
  2. Step 2: Convert to fraction form
    4,542,396.47/6,981,975.98 = 6,981,975.98/x
  3. Step 3: Cross multiply
    4,542,396.47x = 6,981,975.98 × 6,981,975.98
  4. Step 4: Simplify right side
    4,542,396.47x = 48,747,988,646,389.25
  5. Step 5: Solve for x
    x = 48,747,988,646,389.25/4,542,396.47
  6. Step 6: Final answer
    x = 10,731,777.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.