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Finding the Third Proportional to 2,673,723.75 and 5,837,355.75

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Solution

The third proportional to 2,673,723.75 and 5,837,355.75 is: 12,744,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673,723.75 : 5,837,355.75 = 5,837,355.75 : x
  2. Step 2: Convert to fraction form
    2,673,723.75/5,837,355.75 = 5,837,355.75/x
  3. Step 3: Cross multiply
    2,673,723.75x = 5,837,355.75 × 5,837,355.75
  4. Step 4: Simplify right side
    2,673,723.75x = 34,074,722,152,058.06
  5. Step 5: Solve for x
    x = 34,074,722,152,058.06/2,673,723.75
  6. Step 6: Final answer
    x = 12,744,294.23

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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.