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Finding the Third Proportional to 5,206,270 and 10,666,214

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Solution

The third proportional to 5,206,270 and 10,666,214 is: 21,852,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,270 : 10,666,214 = 10,666,214 : x
  2. Step 2: Convert to fraction form
    5,206,270/10,666,214 = 10,666,214/x
  3. Step 3: Cross multiply
    5,206,270x = 10,666,214 × 10,666,214
  4. Step 4: Simplify right side
    5,206,270x = 113,768,121,093,796
  5. Step 5: Solve for x
    x = 113,768,121,093,796/5,206,270
  6. Step 6: Final answer
    x = 21,852,136.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.