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Finding the Third Proportional to 2,775,747 and 6,189,727

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Solution

The third proportional to 2,775,747 and 6,189,727 is: 13,802,670.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775,747 : 6,189,727 = 6,189,727 : x
  2. Step 2: Convert to fraction form
    2,775,747/6,189,727 = 6,189,727/x
  3. Step 3: Cross multiply
    2,775,747x = 6,189,727 × 6,189,727
  4. Step 4: Simplify right side
    2,775,747x = 38,312,720,334,529
  5. Step 5: Solve for x
    x = 38,312,720,334,529/2,775,747
  6. Step 6: Final answer
    x = 13,802,670.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.