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Finding the Third Proportional to 2,349,376.50 and 4,976,727

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Solution

The third proportional to 2,349,376.50 and 4,976,727 is: 10,542,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,349,376.50 : 4,976,727 = 4,976,727 : x
  2. Step 2: Convert to fraction form
    2,349,376.50/4,976,727 = 4,976,727/x
  3. Step 3: Cross multiply
    2,349,376.50x = 4,976,727 × 4,976,727
  4. Step 4: Simplify right side
    2,349,376.50x = 24,767,811,632,529
  5. Step 5: Solve for x
    x = 24,767,811,632,529/2,349,376.50
  6. Step 6: Final answer
    x = 10,542,291.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.