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Finding the Third Proportional to 2,673,864 and 5,837,707

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Solution

The third proportional to 2,673,864 and 5,837,707 is: 12,745,159.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673,864 : 5,837,707 = 5,837,707 : x
  2. Step 2: Convert to fraction form
    2,673,864/5,837,707 = 5,837,707/x
  3. Step 3: Cross multiply
    2,673,864x = 5,837,707 × 5,837,707
  4. Step 4: Simplify right side
    2,673,864x = 34,078,823,017,849
  5. Step 5: Solve for x
    x = 34,078,823,017,849/2,673,864
  6. Step 6: Final answer
    x = 12,745,159.45

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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.