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Finding the Third Proportional to 3,122,020 and 6,809,816

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Solution

The third proportional to 3,122,020 and 6,809,816 is: 14,853,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122,020 : 6,809,816 = 6,809,816 : x
  2. Step 2: Convert to fraction form
    3,122,020/6,809,816 = 6,809,816/x
  3. Step 3: Cross multiply
    3,122,020x = 6,809,816 × 6,809,816
  4. Step 4: Simplify right side
    3,122,020x = 46,373,593,953,856
  5. Step 5: Solve for x
    x = 46,373,593,953,856/3,122,020
  6. Step 6: Final answer
    x = 14,853,714.57

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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.