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Finding the Third Proportional to 2,613,688 and 5,661,689

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Solution

The third proportional to 2,613,688 and 5,661,689 is: 12,264,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613,688 : 5,661,689 = 5,661,689 : x
  2. Step 2: Convert to fraction form
    2,613,688/5,661,689 = 5,661,689/x
  3. Step 3: Cross multiply
    2,613,688x = 5,661,689 × 5,661,689
  4. Step 4: Simplify right side
    2,613,688x = 32,054,722,332,721
  5. Step 5: Solve for x
    x = 32,054,722,332,721/2,613,688
  6. Step 6: Final answer
    x = 12,264,173.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.