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Finding the Third Proportional to 2,613,705 and 5,627,901

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Solution

The third proportional to 2,613,705 and 5,627,901 is: 12,118,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613,705 : 5,627,901 = 5,627,901 : x
  2. Step 2: Convert to fraction form
    2,613,705/5,627,901 = 5,627,901/x
  3. Step 3: Cross multiply
    2,613,705x = 5,627,901 × 5,627,901
  4. Step 4: Simplify right side
    2,613,705x = 31,673,269,665,801
  5. Step 5: Solve for x
    x = 31,673,269,665,801/2,613,705
  6. Step 6: Final answer
    x = 12,118,150.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.