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Finding the Third Proportional to 6,161,266 and 13,739,210

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Solution

The third proportional to 6,161,266 and 13,739,210 is: 30,637,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161,266 : 13,739,210 = 13,739,210 : x
  2. Step 2: Convert to fraction form
    6,161,266/13,739,210 = 13,739,210/x
  3. Step 3: Cross multiply
    6,161,266x = 13,739,210 × 13,739,210
  4. Step 4: Simplify right side
    6,161,266x = 188,765,891,424,100
  5. Step 5: Solve for x
    x = 188,765,891,424,100/6,161,266
  6. Step 6: Final answer
    x = 30,637,516.94

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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.